110k views
2 votes
At a used bookstore, the price of a hardcover book is three times the price of a paperback book. If 40 hardcover books were sold for a total of $480 and the combined sales of hardcover and paperback ooks totaled $600, how many paperback books were sold?

A) 10
B) 12
C) 30
D) 40

1 Answer

3 votes

Final answer:

The price of a paperback book is $4 and the price of a hardcover book is $12. Therefore, 1 paperback book was sold. The correct option is B) 12

Step-by-step explanation:

Let's assume that the price of a paperback book is x dollars. According to the information given, the price of a hardcover book is three times the price of a paperback, so the price of a hardcover book would be 3x dollars.

It is given that 40 hardcover books were sold for a total of $480. We can set up the equation 40(3x) = 480 to find the value of x.

Simplifying the equation, we get 120x = 480. Dividing both sides by 120, we find that x = 4. Therefore, the price of a paperback book is $4.

The combined sales of hardcover and paperback books totaled $600, so we can set up the equation 40(3x) + 40(x) = 600 to find the number of paperback books sold.

Substituting the value of x, we get 40(12) + 40(4) = 600. Simplifying the equation, we get 480 + 160 = 600. Subtracting 480 from both sides, we find that 160 = 120. Dividing both sides by 120, we find that x = 1.33. Therefore, approximately 1.33 paperback books were sold.

Since we can't have a fraction of a book, the closest whole number is 1. Therefore, 1 paperback book was sold.

In conclusion, 1 paperback book was sold. The correct option is B) 12

User Zen Of Kursat
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories