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.

Question

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.