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

Question

Eli Assouline · Accepted Answer

Her sales for the week were $720#

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#

Savannah Anderson · Answer

undefined To find Linda's sales, we can use the equation: Total earnings = Base pay + Commission. Given that her total earnings for the week were $112, and her base pay is $40, we can set up the equation as follows: $112 = $40 + 0.10x, where x represents her sales. Solving for x, we get: x = ($112 - $40) / 0.10. Thus, Linda's sales for the week were ($112 - $40) / 0.10 = $720.