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

0.08*b* + 0.15*c* = 6.00

0.15*b* + 0.08*c* = 68

0.15*b* + 0.08*c* = 6.00

0.08*b* + 0.15*c* = 68

*b* + *c* = 68

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.

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.

Solve a system of equations involving the cost of black-and-white and color copies. Learn how to use two linear equations to find the number of each type of copy, with costs of $0.08 for black-and-white and $0.15 for color copies, and a total payment of $6.00 for 68 copies. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation