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The Professor, Taught at USC Years Ago
Category: Homework
Satisfied Customers: 1387
Experience:  Engineering Degree, Tutoring Experience, USC Faculty (Retired)
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# Here is a selling price formula S C+rC. The selling price, ...

### Customer Question

Here is a selling price formula: S=C+rC. The selling price, S, is equal to the original cost, C, plus the markup rate, r, multiplied by the original cost. With this in mind, here's the actual question: A 20lb turkey has a 35% markup and is selling for \$22.50. Use the selling price formula to find the original cost of the turkey (rounded to the nearest cent). Show all work.
Submitted: 8 years ago.
Category: Homework
Expert:  The Professor replied 8 years ago.
Who dreams up these word problems anyhow.

First thought: who CARES how much the turkey weighs? It isn't a factor in solving the problem as the weight of the turkey is not in the selling price formula:

S = C + rC

But we do know S the selling price and r the markup:

22.50 = C + .35 C

Combining terms:

22.50 = 1.35 C

Dividing both sides by 1.35:

\$16.67

You can check it by replacing C in the selling price formula with \$16.67 - and it does check!
The Professor, Taught at USC Years Ago
Category: Homework
Satisfied Customers: 1387
Experience: Engineering Degree, Tutoring Experience, USC Faculty (Retired)
Customer: replied 8 years ago.
Thanks Gezzer- I keep forgetting to combine the like terms. I kept getting 15.157 for C, which doesn't work when you plug it into the formula.
Expert:  The Professor replied 8 years ago.

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