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


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.

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.

Learn how to solve a system of equations to determine the number of black-and-white and color copies purchased at a print shop. This problem involves algebraic concepts like systems of equations, using equations b + c = 68 and 0.08b + 0.15c = 6.00. Suitable for students in Grades 8-10.

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