Reasoning and 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: 20
What was the question?
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?
There were 50 + 50 = 100 cars that went through the toll booth on Monday and Tuesday. On Wednesday, the number of cars that went through the toll booth is 2 * 50 = 100. The exact number of cars passed through the toll booth on Thursday as Wednesday, giving a total of 100 + 100 = 200 vehicles going through the toll booth in the two days. There were 200 + 100 = 300 cars that passed through the toll booth from Monday to Thursday. If the total number of cars passed through the toll booth in the week was 450, then 450 - 300 = 150 vehicles went through the toll booth on the remaining days. Since there were an equal number of cars in the toll booth on each of the remaining days, there were 150 / 3 = 50 cars on each day.
The answer: 50
Reverse engineering the question: In a week, 450 cars drove through a toll booth. Fifty vehicles went through the toll booth on Monday and the same number of vehicles drove through the toll booth on Tuesday. On each of Wednesday and Thursday, twice the number of cars that passed through the toll booth on Monday went through the toll booth. If, for the remaining of the days of the week, an equal number of vehicles passed through the toll booth, calculate the total number of cars that passed the toll both in each of the remaining days.
Reasoning and answer: Maria wants to give away 5 cookies, so she will be left with 19 - 5 = 14 cookies. Half of these will go to her family, which means 14 / 2 = 7 cookies. Maria decided to eat 2 / 7 * 7 = 2 cookies. So she will be left with 7 - 2 = 5 cookies.
The answer: 5
What was the question?
Question: Maria has 19 cookies. She decided to give her friend 5 of them, and half of the rest to her family. From the rest, Maria decided to eat 2 cookies. How many cookies will she have left?
She has 8 points from red buckets because 4 x 2 = 8. She has 15 points from green buckets because 5 x 3 = 15. She has spent $2 on games because 2 x 1 = 2. She has $1 left to spend because 3 - 2 = 1. She can play one more game because 1 / 1 = 1. The best bucket gives three points because 3 > 2. The most she can earn in the final game is 15 because 5 x 3 = 15. The most she can score overall is 38 because 8 + 15 + 15 = 38.
The answer: 38
Reverse engineering the question: Tiffany attends the carnival and her mother gives her $3 to play on a ring toss game. For every red bucket she tosses a ring into she gets 2 points. For every green bucket she gets three points. She gets zero points for a miss. Every play costs her $1 and she gets 5 rings per play. She's played two games and already gotten 4 red buckets and 5 green buckets. If she plays until her money runs out, what is the most total points she can get for all three games?
Reasoning and answer: After 9 days, Brenda bakes 20 * 9 = 180 cakes. After she sells half of them, the remaining will be 180 / 2 = 90 cakes.
The answer: 90
What was the question?
Question: Brenda bakes 20 cakes a day. She does this for 9 days and then sells half of the cakes. How many cakes are left with Brenda?
Reasoning and answer: The second podcast was twice as long as the first so 2 * 45 = 90. 1 hour is 60 mins. So his 1 hour and 45 min podcast is 60 + 45 = 105 minutes long. So far he has downloaded 45 + 90 + 105 + 60 = 300 min. If he converts 300 min to hours then he has 300 / 60 = 5 hours of podcasts downloaded. He has 5 hours of podcasts and his drive is 6 hours so he will need 6 - 5 = 1 more hour of podcasts.
The answer: 1
What was the question?
Question:
Roger had a 6-hour drive planned out. He didn't want to listen to music so he downloaded several podcasts. The first podcast was 45 minutes long. The second podcast was twice as long as that. The third podcast was 1 hour and 45 minutes long. His fourth podcast is 1 hour long. How many hours will his next podcast have to be to fill up the full 6 hours?