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Question

Ethan and Sarah work at different stores. Ethan earns $125 every week and also earns 8% commission from sales. Sarah earns $200 every week and also gets 6% commission from sales. How much does the sale (in dollars) have to be in order to make their weekly income the same?

Answer 1

We need two equations for income, one for Ethan and one for Sarah. Let's use the variables I for total weekly income and s for weekly sales in dollars.

 

Ethan: I = 125 + .08 s

 

Sarah: I = 200 + .06 s

 

Now we set the two equal to each other and see what we get for s.

 

125 + .08 s = 200 + .06 s

(.08 - .06) s = 200 - 125

.02 s = 75

s = 75 / .02

s = 3750

 

For their weekly income to be the same, the sales would have to total $3750.