Question

Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?

Answer 1

She sold $1,711 in make-up.

Explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

`E = 0.18*500 + 0.22*(x - 500)`

`E = 90 + 0.22*(x - 500)`

She made $356.42 in commission. How much did she sell in make-up?

So

`356.42 = 90 + 0.22*(x - 500)`

`90 + 0.22x - 110 = 356.42`

`0.22x = 356.42 + 20`

`x = (376.42)/(0.22)`

`x = 1711`

She sold $1,711 in make-up.