To solve this problem, we need two equations that represent the system where:

• $b$ is the number of black-and-white copies.
• $c$ is the number of color copies.

The first piece of information we have is that the customer paid for a total of 68 copies: $b + c = 68$ This equation accounts for the total number of copies.

The second piece of information is about the cost:

• Each black-and-white copy costs $\$0.08$.
• Each color copy costs $\$0.15$. The total cost was $6.00, so we can write an equation for the total cost: $0.08b + 0.15c = 6.00$ This equation represents the total cost paid for both types of copies.

The two correct equations are:

1. $b + c = 68$
2. $0.08b + 0.15c = 6.00$

Would you like further clarification or a detailed explanation of how to solve the system of equations?

Here are 5 related questions to expand your understanding:

1. How would you solve the system of equations $b + c = 68$ and $0.08b + 0.15c = 6.00$?
2. What method would you use to solve a system of linear equations, substitution or elimination?
3. How do you check if a solution to a system of equations is correct?
4. What if the customer paid for 100 copies instead of 68? How would the equations change?
5. How does the price of each copy type affect the total cost equation?

Tip:

When solving a system of equations, start by simplifying one equation (like using substitution or elimination) to isolate one variable, making it easier to solve for the other.