Question

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

Each black-and-white copy cost $0.08.
Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

A.
b + c = 6.00
0.15b + 0.08c = 68

Answer 1

To set up a system of equations to solve for the number of black-and-white copies (b) and the number of color copies (c), we need to use the information provided about the total number of copies and the total cost.

1. **Total Number of Copies Equation:**
The total number of copies (black-and-white and color) is 68:
\[
b + c = 68
\]

2. **Total Cost Equation:**
The total cost of all copies is $6.00. The cost for black-and-white copies (at $0.08 each) and color copies (at $0.15 each) gives us the equation:
\[
0.08b + 0.15c = 6.00
\]

Thus, the correct system of equations is:
\[
\begin{align*}
1. & \quad b + c = 68 \\
2. & \quad 0.08b + 0.15c = 6.00
\end{align*}
\]

This system can be used to find the values of b and c.