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.

Select TWO equations that represent the system of equations that 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.
 
b + c = 6.00	0.08b + 0.15c = 6.00	0.15b + 0.08c = 68
0.15b + 0.08c = 6.00	0.08b + 0.15c = 68	b + c = 68


The problem gives us two important pieces of information: the total number of copies and the total cost. We are asked to find two equations that model the situation.

Let's define the variables:
- $ b $ = the number of black-and-white copies.
- $ c $ = the number of color copies.

### 1. The total number of copies is 68:
This gives us the equation:
\[
b + c = 68
\]

### 2. The total cost of the copies is $6.00. Each black-and-white copy costs $0.08, and each color copy costs $0.15:
This gives us the equation:
\[
0.08b + 0.15c = 6.00
\]

Thus, the two correct equations representing the system are:

- $ b + c = 68 $
- $ 0.08b + 0.15c = 6.00 $

These two equations can be solved to find $ b $ and $ c $.

Do you want the detailed steps to solve this system? Here are some questions to explore further:

1. How do you solve a system of linear equations using substitution?
2. How do you solve a system of linear equations using elimination?
3. What happens if the total number of copies changes but the prices remain the same?
4. How does the solution change if black-and-white copies are cheaper?
5. What if the cost of color copies is increased to $0.20?

**Tip:** When solving systems of equations, carefully check units and coefficients to ensure the equations correctly represent the situation.

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, and each color copy cost $0.15. Select TWO equations that represent the system of equations that can be used to find b, the number of black-and-white copies, and c, the number of color copies.

Learn how to solve a system of linear equations to determine the number of black-and-white and color copies in this problem. The customer paid $6.00 for 68 copies, with black-and-white copies costing $0.08 each and color copies costing $0.15. Suitable for students in Grades 6-8, this problem covers key algebra concepts.

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