To solve this problem, we need to formulate a system of equations that represents both the total number of copies and the total cost of the copies.

Let:

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

Step 1: Representing the Total Number of Copies

The total number of copies (black-and-white and color) is given as 68: $b + c = 68$

Step 2: Representing the Total Cost of Copies

Each black-and-white copy costs $0.08, and each color copy costs $0.15. The total amount paid is $6.00, so the cost equation is: $0.08b + 0.15c = 6.00$

Correct Equations

The two equations that represent this system are:

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

These equations allow us to solve for $b$ (the number of black-and-white copies) and $c$ (the number of color copies).

Would you like to see the solution steps for this system of equations?

Related Questions

1. How do you solve a system of equations using the substitution method?
2. What is the elimination method for solving systems of equations?
3. How do you interpret the solution of a system of equations graphically?
4. Can you use matrices to solve a system of equations like this one?
5. How would the equations change if the price of black-and-white copies increased?

Tip

When creating equations from word problems, focus on identifying relationships between quantities (like totals and costs) to structure your equations clearly.