Q: Jack and Jill went up the hill to fetch water to fill a 600 gallon tank. Each bucket is five gallons. Jack is stronger, and is able to carry two buckets of water at a time, but Jill can only manage one. Also, Jack can complete three trips to the well and back in the time it takes Jill to make two trips. How many trips will Jill make before the tank is filled?
A: Jack is able to carry two 5 - gallon buckets of water per trip, or 2 * 5 = 10 gallons of water. Jill can only carry one bucket per trip, or 5 gallons. Jack completes 3 trips to the well and back for every 2 trips Jill completes, so in that time they have both together carried 3 Jack trips * 2 buckets per Jack trip * 5 gallons per bucket + 2 Jill trips * 1 bucket per Jill trip * 5 gallons per bucket = 30 gallons + 10 gallons = 40 gallons of water. If you consider these as a single "group" of trips, it will take 600 gallons / 40 gallons per "group" of trips = 15 groups of trips. As each of these "groups" of trips consists of two Jill trips, Jill will make 15 * 2 = 30 trips to the well and back before the tank is filled. The answer is 30.
Question: Wendi lives on a plot of land that is 200 feet by 900 feet of grassland. She raises rabbits on her property by allowing the rabbits to graze on the grass that grows on her land. If one rabbit can eat enough grass to clear ten square yards of lawn area per day, and Wendi owns 100 rabbits, how many days would it take for Wendi's rabbits to clear all the grass off of her grassland property?
Answer: One square yard is the same as 3 feet by 3 feet, or 3 * 3 = 9 square feet. Ten square yards is 9 * 10 = 90 square feet. Therefore, 100 rabbits can clear 100 * 90 = 9,000 square feet of grassland per day. A 200 ft by 900 ft area is 200 * 900 = 180,000 square feet. Thus, 180,000 sq ft can be cleared by 100 rabbits in 180,000 / 9000 = 20 days. The answer is 20.
[Question]Christine and Janice are having a contest to see who can throw a ball the highest. They each get three throws. On her first throw, Christine throws it 20 feet high. Janice's throw is 4 feet lower than Christine's. On their second throw, Christine throws it ten feet higher than her first throw and Janice throws it twice as high as her first throw. On the final throw, Christine throws it 4 feet higher than her 2nd throw while Janice throws it 17 feet higher than Christine's first throw. What is the height of the highest throw?
[Answer]We know Christine's second throw was 30 feet high because 20 + 10 = 30. We know Christine's third throw was 34 feet because 30 + 4 = 34. Janice's first throw was 16 feet because 20 - 4 = 16. Janice's second throw was 32 feet because 16 * 2 = 32. Janice's final throw was 37 feet high because 20 + 17 = 37. The six throws were 20 feet, 30 feet, 34 feet, 16 feet, 32 feet, and 37 feet, and of these numbers, 37 feet was the highest. The answer is 37.
Q: Donna bought 3 times as many pencils as Marcia did. Marcia bought double the number of pencils as Cindi did. How many pencils did Donna and Marcia buy altogether if Cindi spent $30 on $0.50 pencils?
A: Cindi bought 30 / 0.50 = 60 pencils. Marcia bought 2 * 60 = 120 pencils. Donna bought 3 * 120 = 360 pencils. Altogether, Donna and Marcia bought 120 + 360 = 480 pencils. The answer is 480.
Question: Ariana heard the news that a new grocery store had opened up in their town, so she decided to buy some flowers for her house. She bought a bunch of 40 flowers, 2/5 of which were roses, 10 were tulips, and the rest were carnations. How many carnations did she buy?
Answer: The number of roses in the bunch is 2 / 5 * 40 flowers = 16 flowers. The total number of roses and tulips is 16 flowers + 10 flowers = 26 flowers. There were 40 flowers - 26 flowers = 14 carnations. The answer is 14.
Q: Jack is ordering custom baseball caps for him and his two best friends. Jack's head is 12 inches in circumference. Charlie's head is 9 inches more than half the circumference of Jack's head. Bill's head is 2/3 the circumference of Charlie's head. How many inches in circumference is Bill's head?
A:
First find half the circumference of Jack's head: 12 inches / 2 = 6 inches. Then find how big Charlie's head is: 6 inches + 9 inches = 15 inches. Then find how big Bill's head is: 15 inches * 2 / 3 = 10 inches. The answer is 10.