Reasoning and answer: First find the amount of material needed for one skirt: 12 feet * 4 feet = 48 square feet. Then multiply that number by the number of skirts to find the total material used on the skirts: 48 square feet / skirt * 3 skirts = 144 square feet. Then find the total amount of material she uses for the sleeves: 5 square feet / sleeve * 2 sleeves = 10 square feet. Then add the amount of material she uses for each part of the dress to find the total amount of material: 10 square feet + 144 square feet + 2 square feet = 156 square feet. Then multiply the total amount of material by the cost per square foot to find the total cost: 156 square feet * $3 / square foot = $468.
The answer: 468
What was the question?
Question: Jenna is making a costume for her role in Oliver Twist. She needs to make an overskirt and two petticoats. Each skirt uses a rectangle of material that measures 12 feet by 4 feet. She also needs to make a bodice that uses 2 square feet of material for the shirt and 5 square feet of fabric for each of the sleeves. If the material she uses costs $3 per square foot, how much does she spend on the material in total?


The number of girls in the classroom is 20 * 40% = 8 girls. Before new boys join, the number of boys in the classroom is 20 - 8 = 12 boys. If 5 new boys join, the new number of boys is 12 + 5 = 17 boys and the new total is 20 + 5 = 25 total people. The new percentage of girls in the class is 8 girls / 25 total people = 32%.
The answer: 32
Reverse engineering the question: A 20 person classroom is filled with 40% girls. If 5 new boys join the classroom, what is the new percentage of girls in the class?


Reasoning and answer: Joe spent 1 / 9 * $450 = $50 on chocolate. Joe spent 2 / 5 * $450 = $180 on fruits. Joe has $450 - $50 - $180 = $220 left.
The answer: 220
What was the question?
Question: If Joe spent 1/9 of his pocket money of $450 on chocolates and 2/5 on fruits, how much money does he have left?


Heidi's apartment has 6 * 3 = 18 rooms. Grant's apartment has 18 / 9 = 2 rooms.
The answer: 2
Reverse engineering the question: Danielle's apartment has 6 rooms. Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. How many rooms does Grant's apartment have?


Reasoning and answer: Casey can hula hoop 3 minutes less than Nancy so she can hula hoop for 10 - 3 = 7 minutes. Morgan can hula hoop three times as long as Casey, who can hula hoop for 7 minutes, so she can hula hoop for 3 * 7 = 21 minutes.
The answer: 21
What was the question?
Question: Nancy can hula hoop for 10 minutes. Casey can hula hoop 3 minutes less than Nancy. Morgan can hula hoop three times as long as Casey. How long can Morgan hula hoop?


Reasoning and answer: At the market, Mr. Shaefer sold half of the lychees, which is 1 / 2 * 500 = 250. The remaining number of lychees is 500 - 250 = 250. At home, they ate 3 / 5 * 250 = 150 lychees. The total number of lychees remaining is 250 - 150 = 100.
The answer: 100
What was the question?
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.
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Mr. Shaefer harvested 500 lychees in a carton and took them to the market. He sold half of them and took home the remaining number of lychees where they ate 3/5 of them. Calculate the number of lychees remaining.