Question

Hal sold a box of 30 books at a yard sale for a total of $62.16. He sold the paperback books for $1.78 each and sold the hardcover books for $2.51 each.

Which system of equations can be used to determine the number of $1.78 paperback books, x, and the number of $2.51 hardcover books, y, that were
sold at the yard sale?

Answer 1

Explanation:

Let x be the number of $1.78 paperback books and y be the number of $2.51 hardcover books that were sold. The total number of books is x + y = 30 and the total amount of money earned is $62.16. The cost of the paperback books is x * $1.78 and the cost of the hardcover books is y * $2.51.

So, we have the following system of equations:

x + y = 30 (the total number of books is 30)

x * $1.78 + y * $2.51 = $62.16 (the total amount of money earned is $62.16)

This system of equations can be used to determine the number of $1.78 paperback books and the number of $2.51 hardcover books that were sold at the yard sale.