First find the area of the courtyard: 10 feet * 25 feet = 250 feet. Then multiply the area by the number of tiles per square foot to find the total number of tiles needed: 250 feet * 4 tiles / square foot = 1000 tiles. Then multiply the number of tiles by the percentage that are green to find the total number of green tiles: 1000 tiles * 40% = 400 tiles. Subtract that number from the total number of tiles to find the number of red tiles: 1000 tiles - 400 tiles = 600 tiles. Multiply the number of red tiles by the price per red tile to find the cost of the red tiles: 600 tiles * $1.50 / tile = $900. Multiply the number of green tiles by the price per green tile to find the cost of the green tiles: 400 tiles * $3.00 / tile = $1200. Then add the cost of each type of tile to find the total cost: $900 + $1200 = $2100.
The answer: 2100
Reverse engineering the question: Jackson is laying tile in a courtyard that measures 10 feet by 25 feet. He needs 4 tiles per square foot of space. 40% of the tiles are green marble that costs $3/tile, and the rest are red tile that costs $1.50/tile. How much does he pay total for tile?


Reasoning and answer: The cost of the geography books is 35 * 10.5 = $367.5. The cost of the English books is 35 * 7.5 = $262.5. The total amount of the order is 367.5 + 262.5 = $630.
The answer: 630
What was the question?
Question: Ali's class wants to order 35 English textbooks and 35 geography textbooks. Knowing that a geography book costs $10.50 and that an English book costs $7.50, what is the amount of this order?


If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b / 6 and t = b / 2. We can substitute the second two equations into the first equation to get b + b / 6 + b / 2 = 30. Now multiply both sides of this equation by 6: 6b + b + 3b = 180. Now combine like terms: 10b = 180. Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches.
The answer: 9
Reverse engineering the question: Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail?


Reasoning and answer: As each sale represents a customer, there must be a total of 20 sports store sales + 30 music store sales = 50 customers. There is an equal number of customers in every car, so there must be 50 total customers / 10 cars = 5 customers in each car.
The answer: 5
What was the question?
Question: There are 10 cars parked in a mall’s parking lot, each with the same number of customers inside. Each customer only makes 1 purchase. If the sports store makes 20 sales and the music store makes 30 sales, how many customers are in each of the cars?


The amount she spends on buying drinks is $2 * 10 = $20. The amount she spends on buying cakes is $10 * 5 = $50. The amount she spends on buying ice creams is $5 * 100 = $500. The total amount she spends is $20 + $50 + $500 = $570.
The answer: 570
Reverse engineering the question: Betty is planning to host her friends over for a party. She buys drinks, cakes, and ice creams at a unit cost of $2, $10, and $5 respectively. How much does she spend if she buys 10 drinks, 5 cakes, and 100 ice creams?


Lake Crystal has twenty percent fewer frogs than Lassie Lake, a total of 20 / 100 * 45 = 9 frogs. The total number of frogs in Lake Crystal is 45 - 9 = 36. Together, the two lakes have 36 + 45 = 81 frogs.
The answer: 81
Reverse engineering the question:
Lake Crystal has twenty percent fewer frogs than Lassie Lake. If Lassie Lake has forty-five frogs, how many frogs are there in total in the two lakes?