Question

Linda earns $40 base pay per week, plus 10% commission on all sales. What were her sales if she made $112 in one week?

Answer 1

Her sales for the week were $720#

Explanation:

The formula for total salary is:

`T = b + r*s` Where `T` is total salary, `b` is the base salary, `r` is the commission rate and `s` is the sales.

"Percent" or "%" means "out of 100" or "per 100", Therefore 10% can be written as `x/100`.

Given this we can substitute the values we know and solve for `s` while keeping the equation balanced:

`$112 = $40 + 10/100s`

`$112 - 40 = $40 - $40 + 10/100s`

`$72 = 0 + 10/100s`

`$72 = 10/100s`

`100/10 * $72 = 100/10 10/100s`

`10 * $72 = cancel(100)/cancel(10) cancel(10)/cancel(100)s`

`$720 = s`