
Andrew M. answered 10/04/16
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
Her commission is 5% of sales so... .05s = commission
To that we add her base salary of 19,000
Her earnings are thus:
.05s + 19,000
We wish to earn $52,000 so set this equal to 52,000 and solve for s
.05s + 19000 = 52000 subtract 19000 from both sides
.05s = 33000 divide both sides by .05
s = 33000/.05
s = $660,000
She must sell $660,000 worth of furniture to earn $52,000
check answer:
19000 + .05(660,000) = 19000 + 33000 = 52,000