SOLUTION: Joyce saved $170 on an item that was 55% off. What was the original price? How do you solve it????

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Question 819527: Joyce saved $170 on an item that was 55% off. What was the original price?
How do you solve it????

Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the original price of the item
Joyce bought the item for:
+p+-+.55p+
------------
What she saved was +.55p+, so
+.55p+=+170+
+p+=+170%2F.55+
+p+=+309.09+
The original price was $309.09

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
170 dollars was the amount that she did NOT spend, and this corresponds to 55% of the original price. She paid 45% of the original price and did not pay 55% of the original price.

170=%2855%2F100%29%2A%28OriginalPrice%29
170%28100%2F55%29=OriginalPrice
OriginalPrice=170%2A5%2A20%2F%285%2A11%29=170%2A20%2F11=highlight%28309.09%29 dollars