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A salesperson set a goal to earn $2,800 in October. He receives a base salary of $1,400 per month as well as a 8% commission for all sales in that month. How many dollars of merchandise will he have to sell to meet his goal?

Respuesta :

Answer:

[tex]\$17,500[/tex]

Step-by-step explanation:

Let

x----> that month's sales

y----> October earnings

we know that

[tex]8\%=8/100=0.08[/tex]

[tex]y=0.08x+1,400[/tex] -----> equation A

[tex]y=2,800[/tex] -----> equation B

Equate equation A and equation B and solve for x

[tex]2,800=0.08x+1,400[/tex]

[tex]0.08x=2,800-1,400[/tex]

[tex]x=1,400/0.08[/tex]

[tex]x=\$17,500[/tex]

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