Dana bought 3 shirts and a belt. Each shirt cost the same amount and the belt cost $85.75. The total Dana paid was $162.25 before a 7.6% sales tax was added. If a 15% discount was applied to each shirt, how much did one shirt cost including tax?
If the total amount paid was BEFORE the tax, the tax value is irrelevant to the price part of the problem. Only the 15% discount on the shirts needs to be included. A 15% ‘discount’ means that that price paid was 85% of the original price.
If the original price of a shirt is “S” then the equation of the costs is:
Perform the indicated multiplication and subtract 85.75 from both sides.
S = 30 This is the ORIGINAL price of a shirt.
Dana’s cost of a shirt (including the discount) was 0.8530 = 25.50.
Including the 7.6% sales tax he paid a total of
25.50 + (25.500.076) = $27.44 per shirt.