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.
Let x be be the total dollar amount of all phone sales she makes, and y be the total dollar amount of all computer sales she makes. She makes a total of $162 in commission.
The equation that represents this is
0.1 x + 0. 04 y = 1620.1x+0.04y=162 is the first equation.
She had twice as much as computer sales as she had in phone sales.
x = 2y is the second equation, that represents this
Plugging the second equation in the first gives us,
0.1 (2y) + 0.04 y = 1620.1(2y)+0.04y=162
0.2 y + 0.04 y = 1620.2y+0.04y=162
0.24 y = 1620.24y=162
y = 675y=675
So, x = 1350x=1350
The dollar amount of phone sales she makes is $1350 and the dollar amount of computer sales she makes is $675
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