Anna works at an electronics store as a salesperson. Anna earns a 5% commission on the total dollar amount of all phone sales she makes, and earns a 7% commission on all computer sales. Anna made a total of $2100 in sales and earned $119 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Anna made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Let:
- $ p $ represent the dollar amount of phone sales Anna made.
- $ c $ represent the dollar amount of computer sales Anna made.

### Given Information:
1. Anna’s total sales amount to $2100.
2. Anna earns a 5% commission on phone sales and a 7% commission on computer sales.
3. Anna’s total commission earned is $119.

### System of Equations:
Using the information above, we can write two equations:

1. **Total Sales Equation**:
   \[
   p + c = 2100
   \]
   This equation represents the total sales from both phones and computers.

2. **Total Commission Equation**:
   \[
   0.05p + 0.07c = 119
   \]
   This equation accounts for the total commission earned by Anna, where 5% of phone sales and 7% of computer sales add up to her total commission.

### Final System of Equations:
\[
\begin{cases}
p + c = 2100 \\
0.05p + 0.07c = 119
\end{cases}
\]

This system can now be solved to find the values of $ p $ (phone sales) and $ c $ (computer sales).

Would you like me to solve the system for you or explain each step in detail?

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**Related Questions:**
1. How can we solve a system of equations with two variables?
2. What is the importance of defining variables in word problems?
3. How would the commission change if the rates were different?
4. What would happen to the solution if total sales were different?
5. How can you verify the solution to a system of equations?

**Tip:** When setting up equations, double-check that each term aligns with the problem's context and units, such as percentage for commissions.

Discover how to set up a system of equations to determine the dollar amounts of phone and computer sales based on commission rates. Learn about Anna's total sales of $2100 and her earned commission of $119, with step-by-step explanations suitable for Grades 7-9.

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