Question

cameron works at an electronics store as a salesperson. cameron earns a 4% commission on the total dollar amount of all phone sales he makes, and earns a 6% commission on all computer sales. cameron made a total of $3600 in sales and earned $178 in commission. write a system of equations that could be used to determine the dollar amount of phone sales cameron made and the dollar amount of computer sales he made. define the variables that you use to write the system. let \\(\square =\\) \\(\lt\\) let \\(\square =\\) \\(\lt\\) system of equations:

Explanation:

Step1: Define Variables

Let \( x \) = dollar amount of phone sales, \( y \) = dollar amount of computer sales.

Step2: First Equation (Total Sales)

Total sales from phone and computer is $3600, so \( x + y = 3600 \).

Step3: Second Equation (Total Commission)

Commission on phone: \( 0.04x \), Commission on computer: \( 0.06y \), Total commission is $178, so \( 0.04x + 0.06y = 178 \).

System of Equations:

\[

$$\begin{cases} x + y = 3600 \\ 0.04x + 0.06y = 178 \end{cases}$$

\]

Answer:

Let \( x \) = dollar amount of phone sales, \( y \) = dollar amount of computer sales.
System of Equations:
\( x + y = 3600 \)
\( 0.04x + 0.06y = 178 \)