SOLUTION: Amy paid 74.16 for a pair of running shoes during a 15% off sale. What was the regular price?

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Question 215107: Amy paid 74.16 for a pair of running shoes during a 15% off sale. What was the regular price?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let

x = original price


Since 15% of 'x' is 0.15x (0.15 is the decimal equivalent of 15%), this means that to find the discount price, just subtract 0.15x from 'x' to get x-0.15x. Now set this equal to the discount price 74.16 to get x-0.15x=74.16


x-0.15x=74.16 Start with the given equation.


0.85x=74.16 Combine like terms.


x=74.16%2F0.85 Divide both sides by 0.85 to isolate 'x'.


x=87.247 Divide


x=87.25 Round to the nearest cent.


So the regular price is $87.25