Question
The owner of a bookstore bought 1700 copies of a certain work at $14 each. If during the transfer he suffers a theft in which 358 copies are lost, at what price should he sell each of the remaining books so that his total profit is $4,382 despite the theft?
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Answer to a math question The owner of a bookstore bought 1700 copies of a certain work at $14 each. If during the transfer he suffers a theft in which 358 copies are lost, at what price should he sell each of the remaining books so that his total profit is $4,382 despite the theft?
Brice
4.8112 Answers
1. Calculate the total cost of buying the books:
1700 \times 14 = 23800
2. Calculate the remaining number of books after theft:
1700 - 358 = 1342
3. Calculate the total revenue needed for the desired profit:
23800 + 4382 = 28182
4. Set up an equation to find the price per book:
1342x = 28182
5. Solve for \( x \) (price per book):
x = \frac{28182}{1342} \approx 21
Answer: Sell each book for approximately 21
2. Calculate the remaining number of books after theft:
3. Calculate the total revenue needed for the desired profit:
4. Set up an equation to find the price per book:
5. Solve for \( x \) (price per book):
Answer: Sell each book for approximately
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