# Chapter 6 - Percent - 6.4 Using Proportions to Solve Percent Problems - 6.4 Exercises - Page 419: 42

See below for a sample problem.

#### Work Step by Step

Example percent problem (many others are possible): Question: Jill bought shoes on sale (60% off) for $\$30$. How much did the shoes cost originally (before the sale)? Answer: We set up a proportion. Since the shoes were$60\%$off, Jill paid$40\%$of the original price of the shoes.$\frac{40}{100}=\frac{30}{x}$We cross-multiply:$40x=30*10040x=3000x=3000/40=300/4=150/2=75$Thus the original price of the shoes was$\$75$.

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