The first movie was 2 * 60 = 120 minutes. So this movie is 120 * .6 = 72 minutes longer. So this movie is 192 minutes. It also cost 50 * 2 = $100 per minute to film. So it cost 192 * 100 = $1920.
The answer: 1920
Reverse engineering the question: Janet filmed a new movie that is 60% longer than her previous 2-hour long movie. Her previous movie cost $50 per minute to film, and the newest movie cost twice as much per minute to film as the previous movie. What was the total amount of money required to film Janet's entire newest film?
Reasoning and answer: There were 15 pounds of rocks in the bucket because 60 / 4 = 15. There were 10 rocks in the bucket because 15 / 1.5 = 10.
The answer: 10
What was the question?
Question: Jim has a pail with rocks in it. The average weight of a rock is 1.5 pounds. A local rock collector agrees to pay him $4 for every pound of rocks. If he makes $60 off the sale, how many rocks were in the bucket?
After 1 year Jim has gained $80 * 0.15 = $12. Therefore, after 1 year his portfolio has grown to $80 + $12 = $92. He then adds $28 to this total, so his new portfolio total is $92 + $28 = $120 at the beginning of year 2. Next, this total grows by 10%, so he gains $120 * 0.10 = $12 across year 2. Thus, after year 2, his portfolio is worth $120 + $12 = $132.
The answer: 132
Reverse engineering the question: Jim starts with $80 in his investment portfolio. After 1 year it grows by 15%. He then adds another $28 to his portfolio. After 1 more year the combined portfolio grows by 10%. What is his final portfolio worth after 2 years from when he started?
Reasoning and answer: If Emani has $150, Howard has $150 - $30 = $120. In total, they have $120 + $150 = $270. When they share this money equally, each gets $270 / 2 people = $135 / person.
The answer: 135
What was the question?
Question: Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get?
The first trip will use 30 * 5 = 150 liters of fuel. The second trip will use 20 * 5 = 100 liters of fuel. The total liters of fuel are 150 + 100 = 250 liters.
The answer: 250
Reverse engineering the question: John uses 5 liters of fuel per km to travel. How many liters of fuel should John plan to use if he plans to travel on two trips of 30 km and 20 km?
A quarter is worth five nickels because .25 / .05 = 5. She gets 100 nickels from the bank because 20 x 5 = 100. 20 of the nickels are iron nickels because 100 x .20 = 20. 80 of the nickels are regular because 100 - 20 = 80. The iron nickels are worth $60 because 20 x 3 = 60. The regular nickels are worth $4 because 80 x .05 = 4. Her money is now worth $64 because 60 + 4 = 64.
The answer: 64
Reverse engineering the question:
Alice has 20 quarters. She wants to exchange them for nickels and so she goes to the bank. After getting back from the bank, she discovers that 20% of the nickels are iron nickels worth $3 each. What is the total value of her money now?