Reasoning and answer: If there were 33 fewer boys at camp, there would be the same number of both boys and girls or 133 - 33 = 100 people. That means that there were 100 / 2 = 50 girls at the camp.
The answer: 50
What was the question?
Question: There were 133 people at a camp. There were 33 more boys than girls. How many girls were at the camp?
Each chicken and rice plate cost 10 + 40 = 50 cents. The charity spent 50 * 100 = 5000 cents for the dinners. There are 100 cents in a dollar, so the charity spent 5000 / 100 = $50 for the dinners.
The answer: 50
Reverse engineering the question: A charity is delivering chicken and rice dinners to a shelter for the hungry. They have a hundred plates to deliver. The rice cost ten cents a plate and the chicken cost forty cents a plate. How many dollars did the charity spend on the food for the dinners?
Reasoning and answer: First find how much milk Bill turned into sour cream and butter: 16 gallons * 1 / 4 = 4 gallons. Then find how many gallons of butter he makes out of 4 gallons of milk: 4 gallons milk / 4 gallons milk / 1 gallon butter = 1 gallon butter. Then find how many gallons of sour cream he makes out of 4 gallons of milk: 4 gallons milk / 2 gallons milk / 1 gallon sour cream = 2 gallon sour cream. Then subtract the amount of milk turned into butter and sour cream to find the remaining amount of whole milk: 16 gallons - 4 gallons - 4 gallons = 8 gallons. Then multiply the number of gallons of milk by the price of milk to find the total cost of the milk: 8 gallons * $3 / gallon = $24. Then multiply the number of gallons of sour cream by the price of sour cream to find the total cost of the sour cream: 2 gallons * $6 / gallon = $12. Then add the cost of the butter, sour cream and milk to find the total amount of money Bill earns: $24 + $12 + $5 = $41.
The answer: 41
What was the question?
Question: Bill milked his cow and got 16 gallons of milk. He turned 1/4 into sour cream, 1/4 into butter, and kept the rest as whole milk. It takes 4 gallons of milk to make one gallon of butter and 2 gallons of milk to make 1 gallon of sour cream. If Bill sells butter for $5/gallon, sour cream for $6/gallon, and whole milk for $3/gallon, how much money does he make?
On Mondays, he walks 6 miles at 2 miles per hour, for a length of 6 / 2 = 3 hours. On Wednesdays, he walks 6 miles at 3 miles per hour, for a length of 6 / 3 = 2 hours. And on Fridays, he runs 6 miles at 6 miles per hour, for a length of 6 / 6 = 1 hour. The combined total time he spends exercising in a week is 3 + 2 + 1 = 6 hours.
The answer: 6
Reverse engineering the question: Jonathan enjoys walking and running for exercise, and he has three different exercise routines. On Mondays, he walks at 2 miles per hour. On Wednesdays, he walks at 3 miles per hour. And on Fridays, he runs at 6 miles per hour. On each exercise day, he travels 6 miles. What is the combined total time, in hours, he spends exercising in a week?
Reasoning and answer: First figure out how many ounces of fruit fit in three bags by multiplying the number of bags by the number of ounces per bag: 49 oz / bag * 3 bags = 147 oz. Since Marta wants the same number of apples and oranges in each bag, we know the fruits always come in pairs. Find the weight of each pair of fruit by adding the weight of one apple to the weight of one orange: 3 oz + 4 oz = 7oz. Now figure out how many pairs of fruit Marta needs to fill the bags by dividing the total weight in the bags by the weight of each pair of fruit: 147 oz / 7 oz = 21. Now multiply the number of apples Marta needs to buy (21) by the weight per apple (4 oz) to find how many ounces she should buy: 21 * 4 oz = 84 oz.
The answer: 84
What was the question?
Question: Marta is weighing fruit at the grocery store. The apples weigh four ounces each and the oranges weight 3 ounces. Each plastic bag in the grocery store can hold 49 ounces of fruit before it splits. If Martha wants to put an equal number of apples and oranges in each bag, and she wants to buy 3 full bags of fruit, how many ounces of apples should she buy?
Reasoning and answer: She has 5 grandchildren 4 children so she needs 5 + 4 = 9 stockings. The stockings are $20.00 each and currently 10% off so that's 20 * .10 = $2.00 off. The stockings are $20.00 with a $2.00 discount so they are each 20 - 2 = $18.00. The stockings are now $18.00 and she needs 9 so that's $162.00. She also wants to monogram each stocking at $5.00 per stocking so that's 9 * 5 = $45.00. The stockings are $162.00 and the monogramming will cost $45.00 so the stockings will cost 162 + 45 = $207.00.
The answer: 1035
What was the question?
Question:
Pearl wants to order 5 monogrammed Christmas stockings for each of her 5 grandchildren and her own 4 children. The stockings are $20.00 each and currently 10% off. The monogramming will costs $5.00 per stocking. How much will the stockings costs?