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# Here is a selling price formula S C+rC. The selling price, ...

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.
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