Question: There are 15 students in the art club. By the end of each quarter, each student makes two artworks. If there are four quarters in a school year, how many artworks can the art club collect in two school years?
Answer: 15 x 2 = 30 artworks can be collected in one quarter. So in one school year, a total of 30 x 4 = 120 artworks can be collected. Therefore, 120 x 2 = 240 artworks can be collected in two school years. The answer is 240.
[Question]Annie calculated she has three times more toys than Mike, and two less than Tom. Mike has 6 toys. How many toys do Annie, Mike, and Tom have in total?
[Answer]Annie has three times more toys than Mike, which means she has 3 * 6 = 18 more toys than Mike. Annie has a total of 18 + 6 = 24 toys. Tom has two toys more than Annie, so he has 24 + 2 = 26 toys. In total Annie, Mike, and Tom have 6 + 24 + 26 = 56 toys. The answer is 56.
Q: Carolyn is trimming a dress with lace around the cuffs, waist, hem, and neckline. Each cuff is 50 cm long, the hem is 300 cm long, the waist is a third of the length of the hem, and the neck will have 5 ruffles that each use 20 cm of lace. If lace costs $6/m, how much does Carolyn spend on lace?
A: First find the length of the waist: 300 cm / 3 = 100 cm. Then find the total amount of lace she uses on the cuffs: 2 cuffs * 50 cm / cuff = 100 cm. Then find the total amount of lace she uses on the ruffles: 5 ruffles * 20 cm / ruffle = 100 cm. Then add each amount of lace she uses to find the total: 100 cm + 100 cm + 100 cm + 300 cm = 600 cm. Then convert that length to meters to by dividing by 100: 600 cm / 100 cm / m = 6 m. Finally, multiply the total meters of lace needed by the cost per meter to find the total cost: 6 m * $6 / m = $36. The answer is 36.
Question: Peter has four horses. Each one eats 4 pounds of oats, twice a day, and 3 pounds of grain once a day. How many pounds of food does he need to feed his horses for 3 days?
Answer: Peter needs 2 * 4 pounds of oats = 8 pounds of oats per horse per day. Peter will need 8 pounds oats * 3 days = 24 pounds of oats per horse. Peter will need 24 pounds of oats * 4 horses = 96 pounds of oats total. Peter needs 3 pounds of grain * 3 days per horse = 9 pounds of grain per horse. Peter will need 9 pounds of grain * 4 horses = 36 pounds of grain total. For 3 days Peter will need a total of 96 pounds oats + 36 pounds grain = 132 pounds total. The answer is 132.
[Question]David has a store where he sells cell phones. When he takes inventory at the end of the day, he notices that he has 10 Samsung cell phones but he started the day with 14 Samsung cell phones. Then he notices that he has 5 iPhones and in the initial inventory, but started with 8. His staff then told him that in the afternoon they realized that 2 Samsung cell phones were damaged and 1 iPhone had a manufacturing defect in the screen, so they threw these out during the day. What was the total number of cell phones that were sold today?
[Answer]The actual initial inventory of Samsung cell phones was 14, but there were 2 defective phones so 14 - 2 = 12 is the initial inventory of working Samsung phones. The actual initial inventory of iPhone cell phones was 8, but there was one defective phone, so 8 - 1 = 7 is the actual initial inventory of working iPhones. Thus only 12 - 10 = 2 Samsung cell phones were sold. Thus only 7 - 5 = 2 iPhones were sold. Thus the total number of phones sold is 2 Samsung + 2 iPhone = 4 cell phones. The answer is 4.
[Question]Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total?
[Answer]
The third level has 80 books because 64 / .8 = 80. The second level has 100 books because 80 / .8 = 100. The first level has 125 books because 100 / .8 = 125. In total there are 369 books because 64 + 80 + 100 + 125 = 369. The answer is 369.