Question: There are 180 school days in the academic year. Aliyah packs a lunch half the time. Becky packs her lunch half as much as Aliyah. How many days a year does Becky pack her lunch?
Answer: Aliyah packs her lunch ½ the time, so in 180 school days / 2 = she packs her lunch 90 times. Becky packs her lunch ½ as much as Aliyah, so 90 times / 2 = 45 times a year. The answer is 45.
[Question]There are 3 boxes of cereal. One box holds 14 ounces of cereal. Another box holds half the amount of the first box and 5 ounces less than the third box. How much cereal is there in all 3 cereal boxes?
[Answer]First = 14 oz. Second = (1 / 2) * 14 = 7 oz. Third = 7 + 5 = 12 oz. 14 + 7 + 12 = 33 oz. There are 33 ounces of cereal in those 3 boxes. The answer is 33.
Q: What is fifteen more than a quarter of 48?
A: A quarter of 48 is 48 / 4 = 12. The number is 12 + 15 = 27. The answer is 27.
Question: Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
Answer: Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.
[Question]John has 2 hives of bees. One of the hives has 1000 bees and produces 500 liters of honey. The second has 20% fewer bees but each bee produces 40% more honey. How much honey does he produce?
[Answer]The second hive has 20 / 100 * 1000 = 200 fewer bees. This translates to 1000 - 200 = 800 bees. Each bee in the first hive produces 1000 / 500 = 2 liters. The second hive has bees each producing 1.4 * 2 = 2.8 liters. The total amount of honey produces by the bees in the second hive is 2.8 * 700 = 1960. The total honey produced is 1960 + 500 = 2460 liters. The answer is 2460.
[Question]On Tuesday, Mike had 45 books and Corey had twice as many books as Mike. On Wednesday, Mike gave 10 books to Lily, and Corey gave Lily 15 more than Mike gave. How many books did Lily get?
[Answer]
Corey gave Lily 10 + 15 = 25 books to Lily. Lily got 25 + 10 = 35 books. The answer is 35.