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### Question: Sarah, Mary, and Tuan decided to go to the restaurant for a meal. They decided to split the cost of the meal evenly. If the total price of the meal comes to $67 and they have a coupon for $4, how much does each person need to contribute to the bill? ### Answer: After using the coupon, the final price comes to 67 - 4 = <<67-4=63>>63 dollars. With three people, they each need to pay 63 / 3 = <<63/3=21>>21 dollars each. #### 21
### Question: Gary has 30 grams of gold that cost $15 per gram. Anna has 50 grams of gold for the cost of $20 per gram. How much is the cost of their gold combined? ### Answer: The cost of Gary’s gold is 30 * $15 = $<<30*15=450>>450. The cost of Anna’s gold is 50 * $20 = $<<50*20=1000>>1000. The total cost of their gold is $450 + $1000 = $<<450+1000=1450>>1450. #### 1450
### Question: Bart makes a mixtape. The first side has 6 songs. The second side has 4 songs. Each song is 4 minutes. How long is the total tape? ### Answer: There are 6+4=<<6+4=10>>10 songs on the tape. In total, the time is 10*4=<<10*4=40>>40 minutes. #### 40
### Question: Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl? ### Answer: First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = <<16-12=4>>4 gallons Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = <<4+2=6>>6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = <<6-4=2>>2 gallons Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = <<4=4>>4 gallons #### 4
### Question: Dr. Banks had 330 toothbrushes to give away to his patients. He gave away 53 toothbrushes in January. He gave away 67 toothbrushes in February. In March he gave away 46 toothbrushes. In April and May, he gave away the remaining toothbrushes, half each month. How many more toothbrushes did Dr. Banks give out in the busiest month versus the slowest month? ### Answer: Through March, Dr. Banks gave out 53 + 67 + 46 = <<53+67+46=166>>166 toothbrushes. Before giving away toothbrushes in April, he had 330 -166 = <<330-166=164>>164 toothbrushes remaining. Between April and May, he gave out the remaining 164 / 2 = <<164/2=82>>82 toothbrushes each month. Dr. Banks gave 82 toothbrushes in his busiest month and 46 toothbrushes during the slowest month. The difference would be 82- 46 = <<82-46=36>>36 more toothbrushes in the busiest month. #### 36
### Question: The outdoor scouts went on a hike to see a waterfall. To get to the hike, the club members took 3 cars, 6 taxis and 2 vans. There were 4 people in each car, 6 people in each taxis and 5 people in each van. How many people went on the hike? ### Answer: The number of people in cars is 3 × 4 = <<3*4=12>>12. The number of people in taxis is 6 × 6 = <<6*6=36>>36. The number of people in vans is 2 × 5 = <<2*5=10>>10. In total 12 + 36 + 10 = <<12+36+10=58>>58 people went on the hike. #### 58
### Question: Luna, the poodle, is supposed to eat 2 cups of kibble every day. But Luna's master, Mary, and her husband, Frank, sometimes feed Luna too much kibble. One day, starting with a new, 12-cup bag of kibble, Mary gave Luna 1 cup of kibble in the morning and 1 cup of kibble in the evening, But on the same day, Frank also gave Luna 1 cup of kibble in the afternoon and twice as much in the late evening as he had given Luna in the afternoon. The next morning, how many cups of kibble will Mary find remaining in the bag? ### Answer: Mary fed Luna 1+1=2 cups of kibble. Frank fed Luna 1-cup plus twice 1-cup, or 1+2=3 cups of kibble. In total, they fed Luna 2+3=<<2+3=5>>5 cups of kibble. Thus, if the new bag held 12 cups of kibble, the next morning, 12-5=<<12-5=7>>7 cups of kibble remained in the bag. #### 7
### Question: Thirty-six marbles are divided between Mario and Manny in the ratio 4:5. If Manny decided to give 2 marbles to his brother, how many marbles does Manny have now? ### Answer: The marbles are divided into 4 + 5 = <<4+5=9>>9 parts. Each part consists 36/9 = <<36/9=4>>4 marbles. So Manny had 5 parts x 4 = <<5*4=20>>20 marbles. After giving 2 marbles to his brother, he now has 20 - 2 = <<20-2=18>>18 marbles left. #### 18
### Question: Catherine had an equal number of pencils and pens. If she had 60 pens and gave eight pens and 6 pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left? ### Answer: Catherine gave eight pens to each of her seven friends, a total of 8*7 = <<8*7=56>>56 pens. She remained with 60-56 = <<60-56=4>>4 pens. When she also gave 6 pencils to each of her seven friends, she gave away 6*7 = <<6*7=42>>42 pencils. Since she had the same number of pencils as pens, she remained with 60-42 = <<60-42=18>>18 pencils. The total number of pens and pencils that Catherine remained with is 4+18 = <<4+18=22>>22 #### 22
### Question: On March 1st the sun sets at 6 PM. Every day after the sun sets 1.2 minutes later. It is 6:10 PM and 40 days after March 1st. How many minutes until the sun sets? ### Answer: The sun will set 40*1.2=<<40*1.2=48>>48 minutes later than it does on March 1st. That means the sun will set at 6:00+48=6:48 PM So that means the time until sunset is 6:48-6:10=<<648-610=38>>38 minutes #### 38
### Question: Jenny is working on a school project. She spends 10 hours doing research for the project and 2 hours writing a proposal. If she has 20 hours total to work on the project, how many hours does she have left to write her report? ### Answer: So far, Jenny has spent 10+2=<<10+2=12>>12 hours on the project. Thus, she has 20-12=<<20-12=8>>8 hours to write her report. #### 8
### Question: Harly's animal shelter has 80 dogs. She adopts out 40% of them but then has to take back 5 because of personality conflicts with other dogs in their adopted homes. How many dogs does she have now? ### Answer: First find how many dogs are adopted out: 80 dogs * 40% = <<80*40*.01=32>>32 dogs Then subtract the number of dogs adopted out from the total number of dogs and add the number who were returned to find the final number of dogs: 80 dogs - 32 dogs + 5 dogs = <<80-32+5=53>>53 dogs #### 53
### Question: Abie had 20 bags of chips. She gave 4 bags to her friend and bought another 6 bags of chips in the store. How many bags of chips does Abie have in the end? ### Answer: Abie had 20 - 4 = <<20-4=16>>16 bags of chips after giving 4 bags of chips to her friend. Abie has 16 + 6 = <<16+6=22>>22 bags of chips in the end. #### 22
### Question: Emery's family decides to travel for a weekend trip. They drive the first 100 miles in 1 hour. They stop at a McDonald's and then continue the rest of the journey for 300 miles. What's the total number of hours they traveled? ### Answer: If the first 100 miles took one hour, then let's say the next 300 miles took x hours. if 100 miles = 1 hour, then 300 miles =x. To find the number of hours traveled for the 300 miles, x = 300*1/100 x= <<3=3>>3 hours. The total number of hours will be 3 +1 = <<3+1=4>>4 hours #### 4
### Question: Bill and Ted head to the river to throw stuff into the water. Bill throws 6 more sticks into the river than Ted does, but Ted tosses twice as many rocks into the river as Bill. If Ted tosses 10 sticks and 10 rocks into the river, how many objects did Bill toss into the river? ### Answer: Bill throws 10 + 6 = <<10+6=16>>16 sticks into the river. Bill throws 10 / 2 = <<10/2=5>>5 rocks into the river. Bill throws 16 + 5 = <<16+5=21>>21 objects in total into the river. #### 21
### Question: In a grocery store, Julia bought 2 pieces of Snickers and 3 packs of M&M's. If each piece of Snickers costs $1.5 and a pack of M&M's has the same cost as 2 Snickers, how much is Julia's change if she gave the cashier 2 $10 bills? ### Answer: Two pieces of snickers cost $1.5 x 2 = $<<1.5*2=3>>3. One pack of M&M's costs $3 so 3 packs cost $3 x 3 = $<<3*3=9>>9. The total amount that she needs to pay is $3 + $9 = $<<3+9=12>>12. Julia gave the cashier $10 x 2 = $<<10*2=20>>20. So, her change is $20 - $12 = $<<20-12=8>>8. #### 8
### Question: Peter and Andrew like to run in the morning. Peter runs 3 miles more than Andrew's 2 miles. After 5 days, how many miles have they both run? ### Answer: Peter runs 3 miles more than Andrew's 2 miles, so he runs 3+2 = <<3+2=5>>5 miles Peter runs 5 miles a day and Andrew runs 2 miles so they run 5+2 = <<5+2=7>>7 miles a day If they run 7 miles a day then over a course of 5 days they run 7*5 = <<7*5=35>>35 miles #### 35
### Question: Tim gets 6 hours of sleep 2 days in a row. To make up for it he sleeps 10 hours the next 2 days. How much sleep did he get? ### Answer: He got 2*6=<<2*6=12>>12 hours the first 2 days. The next 2 days he gets 2*10=<<2*10=20>>20 hours. So he got 12+20=<<12+20=32>>32 hours. #### 32
### Question: Terry drives at a speed of 40 miles per hour. He drives daily forth and back from his home to his workplace which is 60 miles away from his home. How many hours does Terry spend driving from home to the workplace and then back? ### Answer: The miles that Terry drives daily from home and back are 60 * 2 = <<60*2=120>>120 miles. The hours he takes driving from home and back are 120 / 40 = <<120/40=3>>3 hours. #### 3
### Question: John was 66 inches tall. He had a growth spurt and grew 2 inches per month for 3 months. How tall is he in feet? ### Answer: He gained 2*3=<<2*3=6>>6 inches So his height is 66+6=<<66+6=72>>72 inches So he is 72/12=<<72/12=6>>6 feet tall #### 6
### Question: The company's data entry team had 5 employees working on a large project. Rudy types 64 words per minute, Joyce types 76 words per minute, Gladys types 91 words per minute, Lisa types 80 words per minute and Mike types 89 words per minute. What is the team's average typed words per minute? ### Answer: Rudy types 64, Joyce types 76, Gladys types 91, Lisa types 80 and Mike types 89 so 64+76+91+80+89 = <<400=400>>400 There are 5 team members, so they type at an average speed of 400/5 = <<400/5=80>>80 words per minute #### 80
### Question: Louise is baking cakes for a gathering. She needs 60 cakes in total, and has already produced half this many. Today, she calculates how many cakes she has left to make and bakes half this amount. The next day, she again calculates how many cakes she has left to make and bakes a third of this amount. How many more cakes does Louise need to bake? ### Answer: Louise has already produced 60 cakes / 2 = <<60/2=30>>30 cakes. After calculating how many cakes are left, she bakes another 30 cakes / 2 = <<30/2=15>>15 cakes. The next day, she calculates again then bakes another 15 cakes / 3 = <<15/3=5>>5 cakes. She therefore still needs to bake 60 – 30 – 15 – 5 = <<60-30-15-5=10>>10 cakes. #### 10
### Question: Josh has $300 in his wallet, and $2000 invested in a business. If the business's stock price rises 30% and then he sells all of his stocks, how much money will he have in his wallet? ### Answer: If the business's stock price rises 30%, then his share on the company is worth 30% multiplied by $2000 plus $2000 that he already had. That results in 30% * $2000 + $2000 = $600 + $2000 = $<<30*.01*2000+2000=2600>>2600. Since he already had $300, with $2600 more he will have $300 + $2600 = $<<300+2600=2900>>2900. #### 2900
### Question: Max has 8 children and each of his children has the same number of children as he does except for 2 who have 5 children each. How many grandchildren does he have? ### Answer: Out of his 8 children, 2 have only 5 children so the rest who have 8 ( the same number as him) are 8-2 = <<8-2=6>>6 6 of Max's children have 8 children each for a total of 6*8 = <<6*8=48>>48 grandchildren 2 of Max's children have 5 children each for a total of 5*2 = <<5*2=10>>10 grandchildren In total he has 48+10 = <<48+10=58>>58 grandchildren #### 58
### Question: Abel leaves for a vacation destination 1000 miles away driving 50 miles per hour. An hour later Alice leaves from the same point for the same destination, traveling 40 miles per hour. How much earlier does Abel reach the destination in minutes?? ### Answer: If Abel needs to travel 1000 miles going 50 miles per hour, this means it will take him 1000/50=<<1000/50=20>>20 hours to get there. If Alice needs to travel 1000 miles going 40 miles per hour, this means it will take her 1000/40=<<1000/40=25>>25 hours to get there. Since there are 60 minutes in an hour, this means it will take Abel 20*60= <<20*60=1200>>1200 minutes to arrive. Similarly, this means it will take Alice 25*60= <<25*60=1500>>1500 minutes to arrive. This means Abel arrives 1500-1200= <<1500-1200=300>>300 minutes before Alice if they both leave simultaneously. However, since Abel had a head start of 1 hour, which is 60 minutes, this means Abel arrives 300 + 60 = <<300+60=360>>360 minutes ahead of Alice #### 360
### Question: Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total? ### Answer: Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = <<3*4*5=60>>60 choice However, we must take out the combinations that could have pepperoni and peppers, 1 cheese +1 meat *+1 vegetable = <<1+1+1=3>>3 bad choices 60 - 3 = <<60-3=57>>57 choices #### 57
### Question: Tim drops a ball off the roof of a 96-foot tall building. The ball bounces to half the height from which it fell on each bounce. How high will it bounce on the fifth bounce? ### Answer: On the first bounce, it will reach a height of 96 / 2 = <<96/2=48>>48 feet. On the second bounce, it will reach a height of 48 / 2 = <<48/2=24>>24 feet. On the third bounce, it will reach a height of 24 / 2 = <<24/2=12>>12 feet. On the fourth bounce, it will reach a height of 12 / 2 = <<12/2=6>>6 feet. On the fifth bounce, it will reach a height of 6 / 2 = <<6/2=3>>3 feet. #### 3
### Question: Brenda is a vet who needs to spay some cats and twice as many dogs. If she needs to spay 21 animals total today, how many cats does she need to spay? ### Answer: Let c be the number of cats Brenda needs to spay and d be the number of dogs. We know that c + d = 21 and d = 2c. Substituting the second equation into the first, we get c + 2c = 21 Combining like terms, we get 3c = 21 Dividing both sides by 3, we get c = 7 #### 7
### Question: The epic poem currently contains 24 lines. If a person adds 3 lines to the poem every month, in how many months will the poem contain 90 lines? ### Answer: If the epic poem currently contains 24 lines, the total number of lines added for it to reach 90 is 90-24 = 66 lines. If a person adds 3 lines to the poem every month, it will take 66/3= 22 months for the poem to contain 90 lines. #### 22
### Question: Georgina owns a parrot and is teaching it to speak. So far, the parrot knows seventeen phrases. If she is teaching it two phrases a week and it already knew three phrases when she bought it, how many days has Georgina had it? ### Answer: The parrot knew 3 phrases when Georgina bought it, so it has learned 17 - 3 = <<17-3=14>>14 phrases from her. She has been teaching it 2 phrases a week, so she has had it 14 / 2 = <<14/2=7>>7 weeks. There are 7 days in a week, so Georgina has had the parrot for 7 * 7 = <<7*7=49>>49 days. #### 49
### Question: Wally buys bears at the park. A bear is priced at $4.00 for the first bear and a discount of 50 cents per bear is given after that. How much does Wally pay for 101 bears? ### Answer: If the price of an additional bear drops by fifty after the first purchase, the price of each additional bear is $4.00 - $0.50 = $<<4-0.5=3.50>>3.50 Since Wally bought 101 bears, he was charged fifty cents less on 101-1 = <<101-1=100>>100 bears. The total cost for the 100 bears is 100*$3.50 = $<<100*3.5=350>>350 For the 101 bears, Wally paid a total of $350+$4 = $<<350+4=354>>354 #### 354
### Question: Alberto spent $2457 on a new engine for his car. Samara spent $25 on oil, $467 on tires and $79 on detailing for her car. How many more dollars did Alberto spend on his car? ### Answer: Samara = 25 + 467 + 79 = $<<25+467+79=571>>571 2457 - 571 = $<<2457-571=1886>>1886 Alberto spent $<<1886=1886>>1886 more on his car. #### 1886
### Question: John hits 70% of his free throws. For every foul he gets 2 shots. He gets fouled 5 times a game. How many free throws does he get if he plays in 80% of the 20 games the team plays? ### Answer: John plays in 20*.8=<<20*.8=16>>16 games That means he gets fouled 16*5=<<16*5=80>>80 fouls So he gets 80*2=<<80*2=160>>160 foul shots So he makes 160*.7=<<160*.7=112>>112 free throws #### 112
### Question: Alfred is storing a tonne of maize each month for the next 2 years. If 5 tonnes are stolen and 8 tonnes are given to him as a donation, how many tonnes of maize does he have at the end of the 2 years. ### Answer: Before his maize is stolen, the maize he stores at the end of 1 year is 12*1= <<12*1=12>>12 tonnes of maize. Before his maize is stolen, the maize he stores at the end of 2 years is 12*2= <<12*2=24>>24 tonnes of maize. After his maize is stolen, he is left with 24-5=<<24-5=19>>19 tonnes of maize. After he receives the maize donation, he has 19+8=<<19+8=27>>27 tonnes of maize. #### 27
### Question: A farmer plants his vegetables in neat rows. He has 64 bean seedlings and plants 8 seedlings in a row. He also has 84 pumpkin seeds and plants 7 seeds in a row. Recently, he planted 48 radishes with 6 radishes in a row. If the farmer plants two rows per plant bed, how many plant beds did he have for all his plants? ### Answer: There are 64/8 = <<64/8=8>>8 rows of bean seedlings. There are 84/7 = <<84/7=12>>12 rows of pumpkin seedlings. There are 48/6 = <<48/6=8>>8 rows of radishes. Thus, there are a total of 8 + 12 + 8 = <<8+12+8=28>>28 rows of vegetables. Therefore, the farmer had 28/2 = <<28/2=14>>14 plant beds. #### 14
### Question: James decides he needs to start eating more vegetables. He starts by eating a quarter pound of asparagus and a quarter pound of broccoli per day. After 2 weeks, he doubles that amount and adds 3 pounds of kale per week. How many pounds of vegetables does he eat a week after adding the kale? ### Answer: He starts with .25+.25=<<.25+.25=.5>>.5 pounds of vegetables a day After doubling that it goes to .5*2=<<.5*2=1>>1 pound a day So he eats 1*7=7 pounds of asparagus and broccoli per week So he eats a total of 7+3=<<7+3=10>>10 pounds of vegetables a week #### 10
### Question: 10 boxes each contain 50 bottles of water. Each bottle has a capacity of 12 liters and is filled up to 3/4 of its capacity. How many liters of water altogether are contained within the bottles in the boxes? ### Answer: Since each water bottle has a capacity of 12 liters, when filled up to 3/4 of capacity, each carries 3/4*12 = <<3/4*12=9>>9 liters of water. If there are 50 bottles of water in each box, the number of liters the water bottles in a box are carrying is 50*9 = <<50*9=450>>450 liters. In 10 boxes containing bottled water, the total number of liters in the water bottles is 450*10 =<<450*10=4500>>4500 liters. #### 4500
### Question: If Tony normally has a temperature of 95 degrees, and he comes down with a sickness that raises his temperature by 10 degrees, how many degrees above the threshold of fever is his temperature if a fever is anything over 100 degrees? ### Answer: First, we find what Tony's temperature is by adding his normal temperature of 95 to the increase in temperature from the sickness of 10, performing 95+10=<<95+10=105>>105 degrees. Since the threshold for having a fever is 100, we subtract 100 from 105 to find out the answer, performing 105-100=<<105-100=5>>5 degrees above a fever. #### 5
### Question: After shearing her 200 sheep, Azalea paid the shearer who had come to help her with the work $2000 for his job. Each of the sheared sheep produced 10 pounds of wool. If Ms. Azalea sold a pound of wool at $20, how much profit did she make from the produce of her sheep farm? ### Answer: Since there were 200 sheep, the amount of wool Azalea got after the shearing of the sheep is 200*10 = <<200*10=2000>>2000 pounds of wool. If she sold one pound of wool at $20, the total amount of money she made from the sheep farm is 2000*$20 = $<<2000*20=40000>>40000 Her profit, which is $2000 less the amount of money she paid to the shearer, is $40000-$2000 = 38000 #### 38000
### Question: Aubrey has a deck of cards with 52 cards in it. She then adds two additional cards to the deck. If she splits the deck evenly among herself and two other players, how many cards does each player have? ### Answer: The deck has 54 cards because 52 + 2 = <<52+2=54>>54 There are three players because 1 + 2 = <<1+2=3>>3 Each player gets 18 cards because 54 / 3 = <<54/3=18>>18 #### 18
### Question: Sanya can wash 7 bath towels in one wash, which will take 1 hour. She only has 2 hours in a day to do this task. If she has 98 bath towels, how many days will she need to wash all of them? ### Answer: Every day, Sanya can wash 7 x 2 = <<7*2=14>>14 bath towels. To wash all the towels, she will need 98 / 14 = <<98/14=7>>7 days. #### 7
### Question: Leo has to write a 400-word story for his literature class. 10 words fit on each line of his notebook and 20 lines fit on each page. Lucas has filled one and a half pages. How many words does he have left to write? ### Answer: Half a page is 20 / 2 =<<20/2=10>>10 lines. In total, he has written 20 + 10 = <<20+10=30>>30 lines. The 30 lines written are 30 * 10 = <<30*10=300>>300 words. Lucas has 400 - 300 = <<400-300=100>>100 words left to write. #### 100
### Question: Annie was given a pack of crayons. The pack contained 21 crayons. She already had a box of 36 crayons in her locker. Her friend Bobby gave her half the amount she already had in her locker. She decided to give her sister Mary 1/3 of her total amount of crayons. How many crayons does she give to Mary? ### Answer: Annie starts with 21 + 36 = <<21+36=57>>57 crayons. Bobby ends up giving her 36 / 2 = <<36/2=18>>18 crayons. Annie now has a total of 57 + 18 = <<57+18=75>>75 crayons. She ends up giving Mary a total of 75 * (1 / 3) = <<75*(1/3)=25>>25 crayons. #### 25
### Question: Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow? ### Answer: In 11 months, Yoque will pay a total of $15 x 11 = $<<15*11=165>>165. The amount $165 is 100% + 10% = 110% of the money she borrowed. So, 1% is equal to $165/110 = $<<165/110=1.50>>1.50. Hence, Yoque borrowed $1.50 x 100 = $<<1.50*100=150>>150. #### 150
### Question: Jenny is scraping gum off the bottom of the seats in a stadium with two sections. Section A has 1 subsection with 60 seats and 3 subsections with 80 seats each. Section B has 20 more seats than 3 times as many seats as Section A has total. How many seats does Section B have? ### Answer: First find how many total seats are in the 80-seat subsections: 80 seats/subsection * 3 subsections = 240 seats Then add the number of seats in the 60-seat section to find the total number of seats in Section A: 240 seats + 60 seats = <<240+60=300>>300 seats Then triple that number: 300 seats * 3 = <<300*3=900>>900 seats Then add 20 seats to find the total number of seats in Section B: 900 seats + 20 seats = <<900+20=920>>920 seats #### 920
### Question: For a school fundraiser, Chandler needs to sell 12 rolls of wrapping paper. So far, he has sold 3 rolls to his grandmother, 4 rolls to his uncle, and 3 rolls to a neighbor. How many more rolls of wrapping paper does Chandler need to sell? ### Answer: Chandler has sold 3 rolls + 4 rolls + 3 rolls = <<3+4+3=10>>10 rolls. Chandler still needs to sell 12 rolls – 10 rolls = <<12-10=2>>2 rolls. #### 2
### Question: John buys 1/2 gallon jugs of cold brew coffee every 4 days. How many cups of coffee does he drink a day? ### Answer: He drinks 128/2 = <<128/2=64>>64 ounces of coffee every 4 days That means he drinks 64/4 = <<64/4=16>>16 ounces of coffee a day So he drinks 16/8 = <<16/8=2>>2 cups a day #### 2
### Question: Tyler has 21 CDs. He gives away a third of his CDs to his friend. Then he goes to the music store and buys 8 brand new CDs. How many CDs does Tyler have now? ### Answer: Tyler gives away 21 / 3 = <<21/3=7>>7 CDs After giving away a third of his CDs, Tyler has 21 - 7 = <<21-7=14>>14 CDs After buying new CDs, Tyler has 14 + 8 = <<14+8=22>>22 CDs #### 22
### Question: At the duck park, there are 25 mallard ducks and ten less than twice as many geese as ducks. Then, a small flock of 4 ducks arrived at the park and joined the birds already there. If five less than 15 geese leave the park, how many more geese than ducks remain at the park? ### Answer: Initially, twice as many geese as ducks is 25*2=<<25*2=50>>50 geese. Therefore, ten less than twice as many geese as ducks is 50-10=<<50-10=40>>40 geese. Then, 4 ducks arrived at the park, resulting in 25+4=<<4+25=29>>29 ducks. Five less than 15 geese is 15-5=<<15-5=10>>10 geese. Thus, if 5 less than 15 geese leave, then 40-10=30 geese remain. Thus, there are 30-29=<<30-29=1>>1 more geese than ducks remaining at the park. #### 1
### Question: Cindy can run at 3 miles per hour and walk at 1 mile per hour. If she runs for half a mile and then walks for half a mile, how many minutes will it take her to travel the full mile? ### Answer: It will take her 0.5 miles / 3 mph * (60 minutes / 1 hour) = <<0.5/3*60=10>>10 minutes to run half a mile. It will take her 0.5 miles / 1 mph * (60 minutes / 1 hour) = <<0.5/1*60=30>>30 minutes to walk half a mile. Her total time is 10 + 30 = <<10+30=40>>40 minutes. #### 40
### Question: Micah has 7 fish in his aquarium. Kenneth has three times as many fish in his aquarium and Matthias has 15 less fish than Kenneth in his aquarium. How many fish do the boys have in total? ### Answer: Kenneth has 7 x 3 = <<7*3=21>>21 fish in his aquarium. Matthias has 21 - 15 = <<21-15=6>>6 fish in his aquarium. In total, the boys have 7 + 21 + 6 = <<7+21+6=34>>34 fish. #### 34
### Question: Nina wants to buy a new video game with her allowance money. The game cost 50 dollars. Nina also has learned that there is a 10 percent sales tax. She receives 10 dollars a week as an allowance, and thinks she can save half of that. How many weeks will it take for Nina to be able to buy the new video game with her savings? ### Answer: The 10 percent tax on 50 dollars will be 10 / 100 x 50 = <<10/100*50=5>>5 dollars. The cost of the game and the tax will be 50 + 5 = <<50+5=55>>55 dollars. Nina will save half of her allowance every week, or 10 / 2 = <<10/2=5>>5 dollars per week. The total cost of the game and tax, divided by Nina's weekly savings is 55 / 5 = <<55/5=11>>11 weeks. #### 11
### Question: Robby doesn't like the color brown and will not eat the brown M&M's. On his first bag, he sets aside 9 brown M&M's. On the second bag, he sets aside 12. On his third & fourth bag, there are 8 brown M&M's that he doesn't eat. On his fifth bag, there are only 3 brown M&M's that he doesn't eat. What's the average number of brown M&M's in a bag? ### Answer: Out of 5 bags, he had 9+12+8+8+3 = <<9+12+8+8+3=40>>40 brown M&M's He ate 5 bags so the average number of brown M&M's per bag was 40/5 = <<40/5=8>>8 brown M&M's #### 8
### Question: Joseph has a refrigerator, a water heater in his house, and an electric oven that consumes power at different rates. The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater. If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, calculate the total amount he pays for the power used by these gadgets. ### Answer: If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, Joseph pays 1/2*$500=$<<500/2=250>>250 for power used by the water heater. The total amount of money that Joseph pays for the power used by the water heater and the electric oven is $250+$500 = $<<250+500=750>>750 The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater, a total of 3*$250=$<<3*250=750>>750 For the three gadgets, Joseph pays $750+$750 = $<<750+750=1500>>1500 for the power they use. #### 1500
### Question: There was a big sale on cat food at the pet store. 20 people bought cat food that day. The first 8 customers bought 3 cases each. The next four customers bought 2 cases each. The last 8 customers of the day only bought 1 case each. How many cases of cat food were sold? ### Answer: The first 8 customers bought 8*3=<<8*3=24>>24 cases The next 4 customers bought 4*2=<<4*2=8>>8 cases The last 8 customers bought 8*1=<<8*1=8>>8 In total 24+8+8=<<24+8+8=40>>40 cases were sold #### 40
### Question: After violating the group's policies, 20 members of a Facebook group were removed by the group's admin. If each member posted 50 messages per day in the group and the number of members in the group was 150 before the admin removed some, calculate the total number of messages the remaining members would send in a week. ### Answer: If there were 150 members in the group before the admin removed 20, then 150-20 = <<150-20=130>>130 members remained after 20 were removed. The group members each posted 50 messages in a day, a total of 50*130 = <<50*130=6500>>6500 messages. In a week, with seven days, the group members would have posted 6500*7 = <<6500*7=45500>>45500 messages #### 45500
### Question: James scored 13 field goals worth 3 points and 20 shots worth two points. How many total points did he score? ### Answer: The field goals were worth 3*13=<<3*13=39>>39 points The two-point shots were worth 2*20=<<2*20=40>>40 points So the total score is 39+40=<<39+40=79>>79 points #### 79
### Question: Seth and Max were selling candy bars for a school fundraiser. Seth sold 6 more candy bars than 3 times the number of candy bars that Max sold. If Max sold 24 candy bars, how many did Seth sell? ### Answer: Let C be the number of candy bars Seth sold 3*24 +6=C 72+6=C C=<<78=78>>78 #### 78
### Question: James is running a fundraiser selling candy bars. Each box has 10 candy bars in it. He sells 5 boxes. He sells each candy bar for $1.50 and buys each bar for $1. How much profit does he make from these sales? ### Answer: He makes 1.5-1=$<<1.5-1=.5>>.5 from each candy bar He sells 5*10=<<5*10=50>>50 candy bars So he makes 50*.5=$<<50*.5=25>>25 #### 25
### Question: During a fundraiser, each of the 20 members of a group sold candy bars which costs $0.50 each. If each member sold an average of 8 candy bars, how much money did they earn from their candy bars sales, in dollars? ### Answer: The group was able to sell 20 x 8 = <<20*8=160>>160 candy bars. So, they got 160 x $0.5 = $<<160*0.5=80>>80 from their candy bars sales. #### 80
### Question: Brenda raises mice, and her adult mice recently had three litters of 8 each. She gave a sixth of the baby mice to her friend Robbie to keep as pets. She sold three times the number of babies she gave Robbie to a pet store. Half of the remaining mice were sold to snake owners as feeder mice. How many baby mice did Brenda have left? ### Answer: Brenda’s mice had 3 * 8 = <<3*8=24>>24 baby mice. She gave Robbie 24 / 6 = <<24/6=4>>4 mice. Thus, she sold 3 * 4 = <<3*4=12>>12 mice to the pet store. She had 24 - 12 - 4 = <<24-12-4=8>>8 mice remaining. She sold 8 / 2 = <<8/2=4>>4 as feeder mice. Thus, Brenda had 8 - 4 = <<8-4=4>>4 mice left. #### 4
### Question: A carnival snack booth made $50 selling popcorn each day. It made three times as much selling cotton candy. For a 5-day activity, the booth has to pay $30 rent and $75 for the cost of the ingredients. How much did the booth earn for 5 days after paying the rent and the cost of ingredients? ### Answer: The booth made $50 x 3 = $<<50*3=150>>150 selling cotton candy each day. In a day, the booth made a total of $150 + $50 = $<<150+50=200>>200. In 5 days, they made a total of $200 x 5 = $<<200*5=1000>>1000. The booth has to pay a total of $30 + $75 = $<<30+75=105>>105. Thus, the booth earned $1000 - $105 = $<<1000-105=895>>895. #### 895
### Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now? ### Answer: He gains 120*.2=<<120*.2=24>>24 kg in muscles So he gains 24/4=<<24/4=6>>6 kg of fat That means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight So his new body weight is 120+30=<<120+30=150>>150 kg #### 150
### Question: There are 13 3-year-olds, 20 4-year-olds, 15 5-year-olds, and 22 six-year-olds at a particular Sunday school. If the 3 and 4-year-olds are in one class and the 5 and 6-year-olds are in another class, what is the average class size? ### Answer: First find the total number of 3- and 4-year-olds: 13 kids + 20 kids = <<13+20=33>>33 kids Then find the total number of 5- and 6-year-olds: 15 kids + 22 kids = <<15+22=37>>37 kids Then add the two class sizes: 33 kids + 37 kids = <<33+37=70>>70 kids Then divide the number of kids by the number of classes to find the average class size: 70 kids / 2 classes = <<70/2=35>>35 kids/class #### 35
### Question: Before Marcus went on a road trip to LA, his car had 1728 miles on it. He filled his empty gas tank twice and used up all the gas on the trip. If Marcus's car gets 30 miles per gallon and holds 20 gallons of gas, how many miles does Marcus' car have on it now? ### Answer: First, figure out how many gallons of gas Marcus bought by multiply the gas tank's volume by the number of fill-ups: 20 gallons * 2 = <<20*2=40>>40 gallons Then multiply that number by Marcus's fuel mileage to find how many miles he drove: 40 gallons * 30 miles/gallon = <<40*30=1200>>1200 miles Then add that amount to the initial number of miles on Marcus' car to find the final number of miles: 1728 miles + 1200 miles = <<1728+1200=2928>>2928 miles #### 2928
### Question: Pierre decides to bring his mother out for ice cream. His treat. Each scoop is $2. If he gets 3 scoops and his mom gets 4, what is the total bill? ### Answer: His ice cream is $6 because 3 x 2 = <<3*2=6>>6 His mom's is $8 because 4 x 2 = <<4*2=8>>8 The total is $14 because 6 + 8 = <<6+8=14>>14 #### 14
### Question: In a day, Sam hunts 6 animals. Rob hunts half as many animals as Sam. Mark hunts 1/3 of the total of what Rob and Sam hunt. If Peter hunts 3 times as many animals as Mark does, how many animals do they all hunt in a day? ### Answer: Rob hunts 1/2 * 6 animals/day = <<1/2*6=3>>3 animals/day. Rob and Sam hunt 3 animals/day + 6 animals/day = <<3+6=9>>9 animals/day. Mark hunts 1/3 * 9 animals/day = <<1/3*9=3>>3 animals in a day. Peter hunts 3 * 3 animals/day = <<3*3=9>>9 animals in a day. The total they all hunt in a day is 6 animals/day + 3 animals/day + 3 animals/day + 9 animals/day = <<6+3+3+9=21>>21 animals. #### 21
### Question: John and Sam were hungry so they ordered an extra-large pizza that was pre-sliced into 12 pieces. John ate 3 slices while Sam ate twice the amount that John ate. How many slices of pizza were left? ### Answer: Sam had twice the amount of John so Sam ate 3*2 = <<3*2=6>>6 slices Together, they ate 3+6 = <<3+6=9>>9 slices 1 pizza has 12 slices. 9 slices were eaten so 12-9= <<12-9=3>>3 slices left. #### 3
### Question: Timmy plans to ride a skateboard ramp that is 50 feet high. He knows he needs to go 40 mph at the start to make it all the way to the top. He measures his speed on three trial runs and goes 36, 34, and 38 mph. How much faster does he have to go than his average speed to make it up the ramp? ### Answer: His total speed from the trials is 108 because 36 + 34 + 38 = <<36+34+38=108>>108 His average speed was 36 mph because 108 / 3 = <<108/3=36>>36 He needs to go 4 mph faster to make it to the top because 40 - 36 = <<40-36=4>>4. #### 4
### Question: Tom takes medication to help him sleep. He takes 2 pills every day before bed. He needs to go to the doctor every 6 months to get a new prescription and a visit to the doctor costs $400. The medication costs $5 per pill, but insurance covers 80% of that cost. How much does he pay a year for everything? ### Answer: He sees the doctor 12/6=<<12/6=2>>2 times a year So he pays 400*2=$<<400*2=800>>800 for doctor visits The cost of the pill is 5*2=$<<5*2=10>>10 per night But insurance covers 10*.8=$<<10*.8=8>>8 So he pays 10-8=$<<10-8=2>>2 per night So he pays 2*365=$<<2*365=730>>730 a year SSo his total cost is 800+730=$<<800+730=1530>>1530 a year #### 1530
### Question: There were 349 pieces of candy in a bowl. Talitha took 108 pieces and Solomon took 153 pieces. How many pieces of candy remain in the bowl? ### Answer: 349 - 108 = 241 and 241 - 153 = 88 There are 88 pieces of candy left in the bowl. #### 88
### Question: Mabel lives 4500 steps directly east of Lake High school. Helen lives 3/4 the number of steps that Mabel lives, directly west of the school. What's the total number of steps Mabel will walk to visit Helen so that they can do their assignments together? ### Answer: Helen lives 3/4 * 4500 = <<3/4*4500=3375>>3375 steps directly west of Lake High. To reach Helen, Mabel would have to walk to 4500 + 3375 = <<4500+3375=7875>>7875 steps. #### 7875
### Question: Ronald wants to make profits by re-selling some phones he bought a week ago. He bought 200 units for just $3000, and he wants to gain a third of the initial investment in profits when all units are sold. Including the profit margin, what will be the selling price for each phone? ### Answer: The profit Ronald wants is $3000 / 3 = $<<3000/3=1000>>1000 The profit per phone sold will be $1000 / 200 phones = $<<1000/200=5>>5/phone The cost of each phone is $3000 / 200 phones = $<<3000/200=15>>15/phone The selling price including the profit will be $15/phone + $5/phone = $<<15+5=20>>20 #### 20
### Question: Blake needs to prime and paint 5 rooms in his house. Each room will require a gallon of primer and a gallon of paint. Currently the primer is $30.00 a gallon and they are offering 20% off. The paint costs $25.00 a gallon and is not on sale. How much will he spend on paint and primer? ### Answer: The primer is $30.00 with 20% off so that's 30*.20 = $<<30*.20=6.00>>6.00 off The primer is $30.00 and the discount is for $6.00 off so the sale price is 30-6 = $<<30-6=24.00>>24.00 per gallon Blake needs 5 gallons of primer that is $24.00 a gallon so that's 5*24 = $<<5*24=120.00>>120.00 He needs 5 gallons of paint that cost $25.00 a gallon so that's 5*25 = $<<5*25=125.00>>125.00 The primer is $120.00 and the paint is $125.00 so all total, he will spend 120+125 = $<<120+125=245.00>>245.00 on paint and primer #### 245
### Question: Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left? ### Answer: After the birds ate 19 of the tomatoes Haruto has 127 - 19 = <<127-19=108>>108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = <<108/2=54>>54 tomatoes. #### 54
### Question: Tim buys 3 dozen eggs. Eggs cost $.50 each. How much did he pay for eggs? ### Answer: He bought 3*12=<<3*12=36>>36 eggs So they cost 36*.5=$<<36*.5=18>>18 #### 18
### Question: Nida has 50 chocolates in which some are in 3 filled boxes and 5 pieces are not in a box. Her friend brought 25 pieces of chocolates. If all chocolates must be placed in a box, how many more boxes do they need? ### Answer: There are 50 - 5 = <<50-5=45>>45 chocolates in three boxes. So, each box is filled with 45/3 = <<45/3=15>>15 chocolates. 5 + 25 = <<5+25=30>>30 chocolates are needed to be placed in boxes. Hence, they needed 30/15 = <<30/15=2>>2 boxes for the 30 chocolates. #### 2
### Question: The first tank is 300 liters filled while the second tank is 450 liters filled. The second tank is only 45% filled. If the two tanks have the same capacity, how many more liters of water are needed to fill the two tanks? ### Answer: Since 450 liters represents 45%, then each 1% is equal to 450 liters/45 = <<450/45=10>>10 liters. Hence, the capacity of each tank is 10 liters x 100 = <<10*100=1000>>1000 liters. So, the first tank needs 1000 - 300 = <<1000-300=700>>700 liters of water more. While the second tank needs 1000 - 450 = <<1000-450=550>>550 liters more. Therefore, 700 + 550 = <<700+550=1250>>1250 liters of water are needed to fill the two tanks. #### 1250
### Question: To get free delivery, Alice needs to spend a minimum of $35.00 online at her favorite grocery store. In her cart she has 1.5 pounds of chicken at $6.00 per pound, 1 pack of lettuce for $3.00, cherry tomatoes for $2.50, 4 sweet potatoes at $0.75 each, 2 heads of broccoli for $2.00 each and a pound of Brussel sprouts for $2.50. How much more does she need to spend in order to get free delivery? ### Answer: She bought 1.5 pounds of chicken for $6.00/pound so that's 1.5*$6 = $<<1.5*6=9.00>>9.00 She bought 4 sweet potatoes at $0.75 each so that's 4*$0.75 = $<<4*0.75=3.00>>3.00 She bought 2 heads of broccoli for $2.00 each so that's 2*$2 = $<<2*2=4.00>>4.00 The chicken is $9.00, lettuce is $3.00, tomatoes are $2.50, the sweet potatoes are $3.00, broccoli is $4.00 and Brussel sprouts are $2.50 for a total of $9 + $3 + $2.50 + $3 + $4 + $2.5 = $<<9+3+2.5+3+4+2.5=24.00>>24.00 To get free delivery she needs to spend $35.00, and she already has $24.00 in her cart, so she needs to spend an extra $35-$24 = $<<35-24=11.00>>11.00 #### 11
### Question: Elsa started the day with 40 marbles. At breakfast, she lost 3 marbles while playing. At lunchtime, she gave her best friend Susie 5 marbles. In the afternoon, Elsa's mom bought her a new bag with 12 marbles. Susie came back and gave Elsa twice as many marbles as she received at lunch. How many marbles did Elsa end the day with? ### Answer: Elsa had 40 marbles - 3 - 5 = <<40-3-5=32>>32 marbles. Elsa then gained 12 marbles + 32 = <<12+32=44>>44 marbles. At dinner Elsa received 2 * 5 marbles from Susie = <<2*5=10>>10 marbles. In total Elsa had 44 marbles + 10 = <<44+10=54>>54 marbles. #### 54
### Question: Casey wants to decorate her toenails and fingernails. First, she wants to do a base coat on each nail, then a coat of paint and finally a coat of glitter on every nail. It takes 20 minutes to apply each coat and 20 minutes for each coat to dry before applying the next one. Assuming Casey's nails will be done when all coats have been applied and dried, how many minutes will it take her to finish decorating her fingernails and toenails? ### Answer: Casey wants to paint her 10 toenails + 10 fingernails = <<10+10=20>>20 nails in total. First she wants to do a base coat which takes 20 minutes to apply + 20 minutes to dry = <<20+20=40>>40 minutes total for the first coat. It will take the same amount of time to do a coat of paint and let it dry and to do a coat of glitter and let it dry, 40 minutes x 3 different coats = <<40*3=120>>120 minutes total to paint her toenails and fingernails. #### 120
### Question: Due to a drought, Jerry's household can only use 1000 gallons of water during July. Jerry uses 100 gallons for drinking and cooking and 20 gallons per shower. He wants to fill his pool, which measures 10 feet by 10 feet by 6 feet. If each gallon of water fills 1 cubic foot of the pool, how many showers can Jerry take in July? ### Answer: First find the total volume of the pool: 10 feet * 10 feet * 6 feet = <<10*10*6=600>>600 cubic feet. This is also the number of gallons he needs to fill the pool. Subtract the pool water and the drinking and cooking water from the total amount of water Jerry is allowed to use: 1000 gallons - 600 gallons - 100 gallons = <<1000-600-100=300>>300 gallons Then divide the amount of water Jerry has left to use for showers by the amount of water per shower to find how many showers he can take: 300 gallons / 20 gallons/shower = <<300/20=15>>15 showers #### 15
### Question: Joel is picking peppers from his garden. He picks 7 on Sunday, 12 on Monday, 14 on Tuesday, 12 on Wednesday, 5 on Thursday, 18 on Friday and 12 on Saturday. He knows that in his garden 20% of the peppers are hot and the rest are not. How many non-hot peppers did he pick? ### Answer: He picked 80 peppers because 7 + 12 + 14 + 12 + 5 + 18 + 12 = <<7+12+14+12+5+18+12=80>>80 80% of the peppers are not hot because 100 - 20 = <<100-20=80>>80 He picked 64 non-hot peppers because 80 x .8 = <<80*.8=64>>64 #### 64
### Question: James made $4000 in January. The next month he made twice as much. In March, however, James made $2000 less than in February. How much has James made so far this year? ### Answer: In February James made 4000 * 2 = <<4000*2=8000>>8000. In March James made 8000-2000 = <<8000-2000=6000>>6000. In total for the year James has made 4000 + 8000 + 6000 = $<<4000+8000+6000=18000>>18000. #### 18000
### Question: John decides to get a new apartment with a roommate. His former rent was $2 per square foot for a 750 square foot apartment. His new apartment cost $2800 per month, which he splits evenly with the roommate. How much money does he save a year? ### Answer: His old apartment cost 750*$2=$<<750*2=1500>>1500 a month His new apartment cost $2800/2=$<<2800/2=1400>>1400 a month So he saves $1500-$1400=$<<1500-1400=100>>100 a month That means he saves $100*12=$<<100*12=1200>>1200 a year #### 1200
### Question: Fern buys one pair of high heels for $60 and five pairs of ballet slippers for 2/3rds of the price of the high heels. How much does she pay total? ### Answer: First find the cost of one pair of ballet slippers: $60 * 2/3 = $<<60*2/3=40>>40 Then find the total cost of the ballet slippers: $40/pair * 5 pairs = $<<40*5=200>>200 Then add that amount to the cost of the high heels to find the total cost: $200 + $60 = $<<200+60=260>>260 #### 260
### Question: Lauryn owns a computer company that employs men and women in different positions in the company. How many men does he employ if there are 20 fewer men than women and 180 people working for Lauryn? ### Answer: Let's say the number of men working at the company is x. Since there are 180 people, and the number of men is 20 fewer than the number of women, then x+x+20 = 180 The total number of employees in the company is 2x+20 = 180 2x=180-20 2x=160 The number of men is x=160/2 There are x=80 men in the company. #### 80
### Question: Elois needs 4 bananas to make 1 loaf of banana bread. On Monday, she makes 3 loaves of banana bread. On Tuesday, she makes twice as many loaves of banana bread as Monday. How many bananas did she use to make all the banana bread? ### Answer: On Tuesday, Elois makes 3 x 2 = <<3*2=6>>6 banana breads. She makes a total of 3 + 6 = <<3+6=9>>9 banana breads. She uses 9 x 4 = <<9*4=36>>36 bananas to make all the banana breads. #### 36
### Question: Dorothy is 15 years old and wants to go to a museum with her family. Her family consists of her, her younger brother, her parents, and her grandfather. The regular ticket cost is $10. People 18 years old or younger have a discount of 30%. How much money will Dorothy have after this trip, when she currently has $70? ### Answer: The discount per one ticket is 10 * 30/100 = $<<10*30/100=3>>3. So Dorothy's and her brother's tickets are cheaper by 2 * 3 = $<<2*3=6>>6. Her family consists of 5 people, so the ticket cost stands at 5 * 10 = $<<5*10=50>>50. Including the discount will lower the price to 50 - 6 = $<<50-6=44>>44 in total. Dorothy will be left with 70 - 44 = $<<70-44=26>>26. #### 26
### Question: Sara builds a birdhouse that is 1 foot wide, 2 feet tall and 2 feet deep. Jake builds a birdhouse that is 16 inches wide, 20 inches tall and 18 inches deep. What is the difference in volume between the two birdhouses? ### Answer: To compare volumes, the measurements must be in the same units. There are 12 inches in 1 ft, so Sara’s birdhouse is 1 ft x 12 inches/ft = 12 inches wide, 2 ft x 12 inches/ft = 24 inches tall, and 2 ft x 12 inches/ft = 24 inches deep. The volume of Sara’s birdhouse is 12 inches x 24 inches x 24 inches = <<12*24*24=6912>>6,912 cubic inches The volume of Jake’s birdhouse is 16 inches x 20 inches x 18 inches = <<16*20*18=5760>>5,760 cubic inches. The difference between the two birdhouses is 6,912 cubic inches – 5,760 cubic inches = <<6912-5760=1152>>1,152 cubic inches. #### 1,152
### Question: 85 paper stars are required to fill a glass jar. Luke has already made 33 stars, but he needs to fill 4 bottles. How many more stars must Luke make? ### Answer: Luke must make 85 x 4 = <<85*4=340>>340 stars in total. He needs to make another 340 - 33 = <<340-33=307>>307 stars. #### 307
### Question: For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell? ### Answer: The number of rolls already sold is 1 + 10 + 6 = <<1+10+6=17>>17. Nellie needs to sell 45 − 17 = 28 more rolls of gift wrap. #### 28
### Question: The capacity of Karson's home library is 400 books. If he currently has 120 books, how many more books does he have to buy to make his library 90% full? ### Answer: When 90% full, Karson's library holds 90/100*400 = <<90/100*400=360>>360 books. If he has 120 books in the library now, he needs to buy 360-120 = <<360-120=240>>240 books to make his library 90% full. #### 240
### Question: Benny is baking pies for a bake sale. He plans to make ten pumpkin pies, which cost $3 each to make, and twelve cherry pies, which cost $5 each to make. If he wants to make a profit of $20 selling all the pies, how much does he have to charge for each pie if both kinds sell at the same price? ### Answer: Benny will spend 3 * 10 = $<<3*10=30>>30 to make the pumpkin pies. He will spend 5 * 12 = $<<5*12=60>>60 to make the cherry pies. He wants to make a profit of $20, so he has to earn 30 + 60 + 20 = $<<30+60+20=110>>110 selling all the pies. He is making 22 pies, so he needs to charge 110 / 22 = $<<110/22=5>>5 per pie. #### 5
### Question: Hanna has $300. She wants to buy roses at $2 each and give some of the roses to her friends, Jenna and Imma. Jenna will receive 1/3 of the roses, and Imma will receive 1/2 of the roses. How many roses does Hanna give to her friends? ### Answer: Hanna can buy $300/$2 = <<300/2=150>>150 roses. So, Jenna will receive 1/3 x 150 = <<1/3*150=50>>50 roses. While Imma will receive 1/2 x 150 = <<1/2*150=75>>75 roses. Therefore, Hanna gives a total of 50 + 75 = <<50+75=125>>125 roses to her friends. #### 125
### Question: Amiyah is cutting some trees to build a cow shade. For every tree she cuts, she plants 5 new trees. If there were 400 trees on her farm and she cut 20% of them, calculate the total number of trees on the farm. ### Answer: The number of trees that Amiyah cut is 20/100*400 = <<20/100*400=80>>80 The number of trees remaining on the farm after she cut 80 trees is 400-80 = <<400-80=320>>320 For every tree that Amiyah cut, she plants 5 new trees, and since she cut 80 trees, she planted 80*5 = <<80*5=400>>400 new trees. The total number of trees on the farm is now 320+400 = <<320+400=720>>720 trees. #### 720
### Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter? ### Answer: Let x represent the number of homework points Quiz:x+5 Test:4(x+5)=4x+20 Total:x+x+5+4x+20=265 6x+25=265 6x=240 x=<<40=40>>40 points #### 40
### Question: Andrea buys herself a pony for her 30th birthday. She pays $500/month to rent a pasture for it, $10 a day for food, and $60/lesson for two lessons a week. How much does she spend on her pony in a year? ### Answer: First find the annual cost of food: $10/day * 365 days = $<<10*365=3650>>3650 Then find how much she spends a week on lessons: $60/lesson * 2 lessons = $<<60*2=120>>120 Then multiply that weekly cost by the number of weeks per year to find the annual cost: $120/week * 52 weeks/year = $<<120*52=6240>>6240 Then find the annual cost of the pasture: $500/month * 12 months/year = $<<500*12=6000>>6000 Then add all the costs to find the total cost: $6000 + $6240 + $3650 = $<<6000+6240+3650=15890>>15890 #### 15890
### Question: John wants to finish a show in 5 days. There are 20 episodes and they are each 30 minutes long. How many hours does he have to watch a day? ### Answer: He wants to watch 20*30=<<20*30=600>>600 minutes So he needs to watch 600/60=<<600/60=10>>10 hours That means he needs to watch 10/5=<<10/5=2>>2 hours a day #### 2
### Question: James decides to cut down some trees. In the first 2 days, he cuts down 20 trees each day. For the next 3 days his 2 brothers help him cut down trees. They cut 20% fewer trees per day than James. How many total trees were cut down? ### Answer: He cuts down 2*20=<<2*20=40>>40 trees by himself Each of his brothers cuts down 20*.2=<<20*.2=4>>4 fewer trees per day So they each cut down 20-4=<<20-4=16>>16 trees So for the next 3 days they cut down 20+16*2=<<20+16*2=52>>52 trees per day So they cut down 40+52*3=<<40+52*3=196>>196 trees #### 196