High School Math : Setting up Expressions

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Setting Up Expressions

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  ?

Possible Answers:

Correct answer:

Explanation:

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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