document.write( "Question 1144432: The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers? \n" ); document.write( "

Algebra.Com's Answer #765533 by Theo(13342) $\"\"$ $\"About$

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let x be the original price.
\n" ); document.write( "then x - .22 * x = 30
\n" ); document.write( "combine like terms to get:
\n" ); document.write( ".78 * x = 30
\n" ); document.write( "divide both sides of that equation by .78 to get:
\n" ); document.write( "x = 30 / .78
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 38.46153846
\n" ); document.write( "that's the original price.
\n" ); document.write( "take off 22% to get:
\n" ); document.write( "38.46153846 - .22 * 38.46153846 = 30.
\n" ); document.write( "that confirms the solution is correct.
\n" ); document.write( "the solution is that the original price of the trousers was $38.46153846.
\n" ); document.write( "round to the nearest penny and you get $38.46.
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