Reasoning and answer: The total tons of sand donated to City A and City C is 16 1 / 2 + 24 1 / 2 = 41. The total tons of sand donated to City A, City B, and City C is 41 + 26 = 67. Therefore, City D received 95 - 67 = 28 tons of sand.
The answer: 28
What was the question?
Question: The government donated tons of sand to four Cities. City A received 16 1/2 tons of sand, City B received 26 tons of sand, and City C received 24 1/2 tons of sand. The supplier lost the data for City D; however, they know the total for all four cities was 95 tons. How many tons of sand did City D receive?
Each pair of boxes weighs 40 pounds + 10 pounds, or 50 pounds. Each pair weighs 50 pounds, so the delivery trucks can carry 2000 / 50 pairs of boxes or 40 pairs. Steven has three trucks, so each trip can move 40 * 3 pairs of boxes = 120 pairs of boxes. Each pair is a set of two boxes, so each delivery contains 120 * 2 boxes = 240 boxes.
The answer: 240
Reverse engineering the question: Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. The products are very delicate and must be carefully packed, so partially filled boxes can't be shipped. Steven has three trucks that can be sent on each delivery. Each truck can carry a load of no more than 2,000 pounds of cargo. Some of the boxes weigh 10 pounds after being packed, and some of the boxes weigh 40 pounds when packed. Steven's customer has ordered equal quantities of both the lighter and heavier products. How many boxes of products can Steven ship to his customer in each delivery?
Reasoning and answer: Macy used 11 tokens which are worth 15 pitches each, so 11 tokens x 15 pitches = 165 pitches. Piper used 17 tokens x 15 pitches = 255 pitches. Together, Macy and Piper received 165 + 255 = 420 pitches. Macy hit the ball 50 times + Piper's 55 hits = 105 total hits. Of the 420 pitches 105 total hits = 315 misses.
The answer: 315
What was the question?
Question: Macy and Piper went to the batting cages. Each token gets you 15 pitches. Macy used 11 tokens and Piper used 17. Macy hit the ball 50 times. Piper hit the ball 55 times. How many pitches did Macy and Piper miss altogether?
Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or 320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces. Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38 - x = 32. Adding x to both sides gives 38 x + x = 32 + x, or, 38 = 32 + x. Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 - 32 = 32 + x 32, or, 6 = x.
The answer: 6
Reverse engineering the question: Hasan is packing up his apartment because he's moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers' scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers' scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?
Reasoning and answer: First, we add the two types of days together to find 10 + 10 = 20 days in total between the two types. We then divide this number in half to find Mark's remaining number of days, getting 20 / 2 = 10 days remaining. Since each day counts as 8 hours, we multiply 10 * 8 = 80 hours' worth of days remaining for Mark.
The answer: 80
What was the question?
Question: At Snowflake Plastics, each employee gets 10 sick days and 10 vacation days per year. If Mark uses half his allotment of both types of days in a year, how many hours' worth of days does he have left if each day covers an 8-hour long workday?
Reasoning and answer: Natalia sold 48 / 2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May.
The answer: 72
What was the question?
Question:
Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?