Question

Charlene owns a bookstore. She purchases used books from customers. She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. Charlene pays a customer a total of $199.75 for 149 used books. ● Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (v) Charlene purchases from the customer?

A x+y=149 3.50x + 0.75y = 199.75
Bx + y = 149 0.75x + 3.50y = 199.75
C x + y = 199.75 0.75x + 3.50y = 149
D×+y=199.75 3.50+0.75y=149​

Answer 1

The correct system of equations that could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer is:

A x+y=149 3.50x + 0.75y = 199.75

This system of equations represents the fact that the total number of books purchased is 149, and the total cost of the books is $199.75. The first equation represents the total number of books, and the second equation represents the total cost of the books.

In the second equation, the coefficient of x is 3.50 because each hardback book costs $3.50, and the coefficient of y is 0.75 because each paperback book costs $0.75.