Charlotte works at an electronics store as a salesperson. Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. Charlotte had twice as much in computer sales as she had in phone sales and earned a total of $162 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Charlotte made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

The system of equations that can be used to determine the required values is:

0.1x + 0.04y = 162 equation 1

2x = y equation 2

Where:

x = total phone sales

y = total computer sales

In order to determine the total phone sales and total computer sales, equation 1 and 2 have to be solved simultaneously using either the elimination or substitution method.

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the system of equations are

0.1x + 0.04y = 162

y = 2x

Step-by-step explanation:

Let x represent the total dollar amount of the phone sales she makes.

Let y represent the total dollar amount of the computer sales she makes.

Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. If she earned a total of $162 in commission, it means that

0.1x + 0.04y = 162

Charlotte had twice as much in computer sales as she had in phone sales. This means that

y = 2x

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.