SOLUTION: The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers?

Question 1144432: The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x be the original price.
then x - .22 * x = 30
combine like terms to get:
.78 * x = 30
divide both sides of that equation by .78 to get:
x = 30 / .78
solve for x to get:
x = 38.46153846
that's the original price.
take off 22% to get:
38.46153846 - .22 * 38.46153846 = 30.
that confirms the solution is correct.
the solution is that the original price of the trousers was $38.46153846.
round to the nearest penny and you get $38.46.

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