SOLUTION: Joyce paid $123.50 for an item at the store that was 35% off the original price. What was the original price? Round your answer to the nearest cent. The original price for the i

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Joyce paid $123.50 for an item at the store that was 35% off the original price. What was the original price? Round your answer to the nearest cent. The original price for the i      Log On


   

Question 1195394: Joyce paid $123.50 for an item at the store that was 35% off the original price. What was the original price? Round your answer to the nearest cent.
The original price for the item was
Answer by ikleyn(52781) About Me  (Show Source):
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Joyce paid $123.50 for an item at the store that was 35% off the original price.
What was the original price? Round your answer to the nearest cent.
The original price for the item was
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Let x be the original price.


Under the 35% discount, Joyce paid  x - 0.35x = (1-0.35)x = 0.65x dollars.


From the othe hand side, the problem says that Joyce paid $123.50.


Hence,  0.65x = 123.50  dollars.


It is your basic equation, which comes from the problem.


To solve it, divide both sides of the equation by 0.65.  You will get


    x = 123.50%2F0.65 = 190.


ANSWER.  The original price was $190.00.

Solved and thoroughly explained.