In the first month, the price of the iPhone fell by 10 / 100 * $1000 = $100. The new price after the first month is $1000 - $100 = $900. In the second month, the price fell 20% further by 20 / 100 * $900 = $180. The new price after the second month is $900 - $180 = $720.
The answer: 720
Reverse engineering the question: The price of an iPhone fell 10% in a particular month and another 20% in the second month. If the initial price was $1000, calculate the price after the second month.


Reasoning and answer: Twice the number of Aaron's brothers is 4 * 2 = 8. Bennett has 8 - 2 = 6 brothers.
The answer: 6
What was the question?
Question: Aaron has four brothers. If the number of Bennett's brothers is two less than twice the number of Aaron's brothers, what is the number of Bennett's brothers?


She has 4 cherry sours for every 5 lemon sours, so the number of lemon sours = (5 lemon sours * 32 cherry sours) / 4 cherry sours = 40 lemon sours. This puts the total at 32 cherry sours + 40 lemon sours = 72 sours. After the orange sours are added, they make up 25% of the total sours. Let x = the total number of sours. x - 0.25 * x = 72 sours = > 0.75 * x = 72 sours = > x = 72 sours / 0.75 = 96 sours total.
The answer: 96
Reverse engineering the question: Sally was at a self-serve candy shop where you scoop candy from the bins and pay based on the weight. She scoops 32 cherry sours into a bag. Then she gets a scoop of lemon sours, and the ratio of cherry sours to lemon sours is 4:5. Then she gets a scoop of orange sours, and they make up 25% of the sours in the bag. How many sours does she have in total?


Reasoning and answer: His new plan is 150 * .3 = $45 more expensive than his old plan. So his new plan is 150 + 45 = $195.
The answer: 195
What was the question?
Question: Mark gets a new phone plan that is 30% more expensive than his old plan. If his old plan was $150 a month how much does his new plan cost?


The vegetables cost 2 * 6 = $12. The beef cost 2 * 3 = $6 per pound. So the beef cost 4 * 6 = $24. So the total cost is 12 + 24 = $36.
The answer: 36
Reverse engineering the question: Troy makes soup. He buys 4 pounds of beef and 6 pounds of vegetables. The vegetables cost $2 per pound and the beef is 3 times that price. How much does everything cost?


A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1 / 2) x 2 x 2 = 2. The square has an area of 4 square inches because 2 x 2 = 4. 2 triangles would fit because 4 / 2 = 2.
The answer: 2
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides?