document.write( "Question 1172492: Hi
\n" ); document.write( "Jenny set aside a fixed proportion of her salary on food. It was 20% of her salary. When her salary increased by 10% her food expenditure increased by $50. What was her original salary. Thanks
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Algebra.Com's Answer #797539 by Theo(13342)\"\" \"About 
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let f = what she spent on food
\n" ); document.write( "let s = her salary
\n" ); document.write( "first equation is f = .2 * s
\n" ); document.write( "when her salary increased by 10%, her food expenditure increased by 50 dollars.
\n" ); document.write( "second equation is:
\n" ); document.write( "f + 50 = .2 * 1.10 * s
\n" ); document.write( "in the second equation, replace f with 2 * s from the first equation to get:
\n" ); document.write( ".2 * s + 50 = .2 * 1.10 * s
\n" ); document.write( "simplify to get:
\n" ); document.write( ".2 * s + 50 = .22 * s
\n" ); document.write( "subtract .2 * s from both sides of the equation to get:
\n" ); document.write( "50 = .02 * s
\n" ); document.write( "solve for s to get:
\n" ); document.write( "s = 50 / .02 = 2500
\n" ); document.write( "her salary was 2500
\n" ); document.write( "her food expenditure was .2 * 2500 = 500
\n" ); document.write( "when her salary went up 10%, her salary was 2500 * 1.10 = 2750.
\n" ); document.write( "her food expenditure went up 50 dollars to be 550.
\n" ); document.write( "550 / 2750 = .2
\n" ); document.write( "the proportion remained the same, confirming the solution is correct.
\n" ); document.write( "the solution is her original salary was 2500 dollars.\r
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