Question

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?

Answer 1

`\$17,500`

Explanation:

Let

x----> that month's sales

y----> October earnings

we know that

`8\%=8/100=0.08`

`y=0.08x+1,400` -----> equation A

`y=2,800` -----> equation B

Equate equation A and equation B and solve for x

`2,800=0.08x+1,400`

`0.08x=2,800-1,400`

`x=1,400/0.08`

`x=\$17,500`