Question: There were students from three different schools taking part in a debate organized by the town's mayor on a stage. The first school had twice as many students as the second school, and the second school had 40 more students than the third school. If the third school had 200 students, and after the debate was over, every student shook the mayor's hand, calculate the total number of students who shook the mayor's hand on the stage.
Answer: If the third school had 200 students, and the second school had 40 more students than the third school, the second school had 200 + 40 = 240 students. The third and second schools had 240 + 200 = 440 students on stage taking part in the debate. Since the first school had twice as many students as the second school, and the second school had 240 students, the first school had 240 * 2 = 480 students on stage taking part in the debate. If after the debate was over, every student at the stage shook the mayor's hand, the number of students who shook the mayor's hand is 480 + 440 = 920 students. The answer is 920.
[Question]The price of a book was $400. If the book's price is decreased by 15% and then increased by 40%, what is the final price of the book?
[Answer]When the price of the book is decreased by 15%, the total price decrease is 15 / 100 * $400 = $60. The new price of the book becomes $400 - $60 = $340. The price of the book is then increased by 40 / 100 * 340 = $136. The final price of the book is $340 + $136 = $476. The answer is 476.
Q: Greg bought a 20-pack of granola bars to eat at lunch for the week. He set aside one for each day of the week, traded three of the remaining bars to his friend Pete for a soda, and gave the rest to his two sisters. How many did each sister get when they split them evenly?
A: Greg kept 1 granola bar for each of the 7 days of the week, so there were 20 - 7 = 13 bars left. He traded 3 to his friend Pete, so there were 13 - 3 = 10 bars left. His 2 sisters split the rest evenly, so each got 10 / 2 = 5 granola bars. The answer is 5.
Question: Barney's grocery store sold out all of its items at the beginning of the pandemic, so they ordered extra items to restock the shelves. However, they ended up ordering far too much and have to keep the leftover items in the storeroom. If they ordered 4458 items, sold another 1561 items that day, and have 575 items in the storeroom, how many items do they have left in the whole store?
Answer: Barney's grocery store started with 0 items + 4458 they ordered = 4458 items total. That day they sold 1561 items, so 4458 total - 1561 sold = 2897 items. If there are 575 items in the storeroom, then there are 575 + 2897 = 3472 items in the whole store. The answer is 3472.
[Question]Cooper makes 7 apple pies a day. He does this for 12 days. Ashley then eats 50 of his pies. How many apple pies remain with Cooper?
[Answer]The number of pies Cooper makes in 12 days is 7 pies / day * 12 days = 84 apple pies. After Ashley eats 50 of them, there are 84 pies – 50 pies = 34 apple pies. The answer is 34.
[Question]Two friends are racing three miles. The first one runs it in 21 minutes. The second one runs it in 24 minutes. If they keep up the same pace, how long combined will it take for them to run 5 miles each?
[Answer]
The first one runs a mile in 7 minutes because 21 / 3 = 7. The second runs a mile in 8 minutes because 24 / 3 = 8. The first one would finish 5 miles in 35 minutes because 5 x 7 = 35. The second one would finish in 40 minutes because 5 x 8 = 40. It will take 75 minutes in total because 35 + 40 = 75. The answer is 75.