Reasoning and answer: Leo had 400 / 10 = 40 packs of marbles. He gave Manny 1 / 4 x 40 = 10 packs of marbles. And, Neil received 1 / 8 x 40 = 5 packs of marbles. Thus, Leo. gave a total of 10 + 5 = 15 packs of marbles. Therefore, Leo kept 40 - 15 = 25 packs of marbles.
The answer: 25
What was the question?
Question: Leo had 400 marbles in a jar. He packed the marbles with ten marbles in each pack, and he gave some of them to his two friends, Manny and Neil. He gave Manny 1/4 of the number of packs of marbles, Neil received 1/8 of the number of packs of marbles, and he kept the rest. How many packs of marbles did Leo keep?
The sandbox has an area of 40 * 40 = 1600 square inches. To fill this area, 1600 / 80 = 20 bags of sand are needed. Then, the weight of these bags is 20 * 30 = 600 pounds.
The answer: 600
Reverse engineering the question: A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill the box completely?
Reasoning and answer: He needs 1.5 * 40 = 60 pounds of potatoes. So he needs to buy 60 / 20 = 3 bags of potatoes. So it cost 3 * 5 = $15.
The answer: 15
What was the question?
Question: James makes potatoes for a group. Each person eats 1.5 pounds of potatoes. He makes potatoes for 40 people. A 20-pound bag of potatoes costs $5. How much does it cost?
Dawn earns $4,000 a month because 48,000 / 12 = 4000. She saves $400 a month because 4,000 x .1 = 400.
The answer: 400
Reverse engineering the question: Dawn earns 48,000 a year in 12 equal monthly payments. Each month, she saves 10% of her salary. How much does she save each month?
Reasoning and answer: Geordie pays 12.50 * 3 = $37.50 for car tolls driving to work three times a week. He pays 7 * 2 = $14 for motorcycle tolls driving to work twice a week. He drives 14 * 5 = 70 miles to work each five - day workweek. He uses 70 / 35 = 2 gallons of gas on the drive. He spends 3.75 * 2 = $7.50 on gas each week. Thus, he spends 37.50 + 14 + 7.50 = $59 driving to work. Since he drives to work and back from work, he spends 59 * 2 = $118 a week.
The answer: 118
What was the question?
Question: Geordie takes a toll road on his drive to work and back every day of his five-day workweek. The toll is $12.50 per car or $7 per motorcycle. Both his car and his motorcycle get 35 miles per gallon of gas and the commute to work is 14 miles. Gas costs him $3.75 per gallon. Geordie drives his car to work three times a week and his motorcycle to work twice a week. How many dollars does he spend driving to work and back on the same route in a week?
Reasoning and answer: Half as many legs as a single spider has is 8 / 2 = 4 legs. 10 more spiders than half as many legs as a single spider has is 4 + 10 = 14 spiders. The total number of spider legs in a group of 14 spiders is 8 * 14 = 112 spider legs.
The answer: 112
What was the question?
Question:
A spider has eight legs. If a group of spiders has 10 more spiders than half as many legs as a single spider has, what is the total number of spider legs in this group of spiders?