Setting up Expressions - High School Math

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Question

In April, the price of a t-shirt is . In May, the store increases the price by 50%, so that the new price is . Then in June, the store decreases the price by 50%, so that the t-shirt price is now . What is the ratio of to ?

Answer

If the original price of the T-shirt is , increasing the price by 50% means that the new price is 150% of , or .

If the price is then decreased by 50%, the new price is 50% of

or

The ratio of to is then:

The 's in the numerator and denominator cancel, leaving , or

.

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