The regular price of a shirt at a store is $ 11.70 . The sale price of the shirt is

Question

The regular price of a shirt at a store is $ 11.70 . The sale price of the shirt is 80 % less than the regular price, and the sale price is 30 % greater than the store's cost for the shirt. What was the store&rsquo;s cost, in dollars, for the shirt? (Disregard the $ sign when entering your answer. For example, if your answer is $ 4.97 , enter 4.97 )

Accepted Answer

The correct answer is 1.8 . It&rsquo;s given that the regular price of a shirt at a store is $ 11.70 , and the sale price of the shirt is 80 % less than the regular price. It follows that the sale price of the shirt is $ 11.70 1 - 80 100 , or $ 11.70 1 - 0.8 , which is equivalent to $ 2.34 . It&rsquo;s also given that the sale price of the shirt is 30 % greater than the store&rsquo;s cost for the shirt. Let x represent the store&rsquo;s cost for the shirt. It follows that 2.34 = 1 + 30 100 x , or 2.34 = 1.3 x . Dividing both sides of this equation by 1.3 yields x = 1.80 . Therefore, the store&rsquo;s cost, in dollars, for the shirt is 1.80 . Note that 1.8 and 9/5 are examples of ways to enter a correct answer.

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