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

1 Answer
Dec 11, 2016

Answer:

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#