SOLUTION: A suit was on sale for $142.50, marked down 25% from its original price. What was the original price of the suit?

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Question 1034741: A suit was on sale for $142.50, marked down 25% from its original price. What was the original price of the suit?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Problem:
A suit was on sale for $142.50, marked down 25% from its original price. What was the original price of the suit?

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Steps:

Let x = original price of the suit (in dollars)

x is the original price
we take 25% off the original price to get the discount sale price (142.50)
so,

(original price) - (25% of original price) = discount price
(x) - (25% of x) = 142.50
x - 0.25*x = 142.50
1*x - 0.25*x = 142.50
0.75*x = 142.50
0.75*x/0.75 = 142.50/0.75 divide both sides by 0.75 to isolate x
x = 190
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Answer: The original price of the suit was $190