Question

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 ( x = )
let ( y = )
system of equations:
submit answer

Explanation:

Step1: Define Variables

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

Step2: Total Sales Equation

The total sales from phone and computer is $3600, so:
\( x + y = 3600 \)

Step3: Commission Equation

Commission on phone sales is 4% (\( 0.04x \)) and on computer sales is 6% (\( 0.06y \)), total commission is $178:
\( 0.04x + 0.06y = 178 \)

Answer:

Variable Definitions:

• \( x \) = dollar amount of phone sales
• \( y \) = dollar amount of computer sales

System of Equations:

1. \( x + y = 3600 \)
2. \( 0.04x + 0.06y = 178 \)