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You can put this solution on YOUR website!
since you don't know how much either of them made, you can't answer this question.
\n" ); document.write( "you can, however, determine how much more gloria made than manny.
\n" ); document.write( "let M be the amount of money that manny made.
\n" ); document.write( "manny's tax was therefore .08 * M.
\n" ); document.write( "let G be the amount of money that gloria made.
\n" ); document.write( "gloria's tax is therefore .05 * G.
\n" ); document.write( "since the amount of tax that gloria paid was the same as the amount of tax that manny made, you get:
\n" ); document.write( "05 * G = .08 * M
\n" ); document.write( "solve for G to get:
\n" ); document.write( "G = .08 * M / .05 = 1.6 * M.
\n" ); document.write( "this says that gloria made 1.6 times as much as manny made.
\n" ); document.write( "that's as far as you can go unless you know what either manny made or gloria made.
\n" ); document.write( "assuming you know that manny made 100,000 dollars.
\n" ); document.write( "this means that gloria made 160,000 dollars.
\n" ); document.write( ".08 * 100,000 = 8,000
\n" ); document.write( ".05 * 160,000 = 8,000
\n" ); document.write( "they paid the same tax if gloria made 1.6 times as much as manny.
\n" ); document.write( "assuming you know that gloria made 160,000
\n" ); document.write( "since G = 1.6 * M, then M = G / 1.6.
\n" ); document.write( "this means manny made 160,000 / 1.6 = 100,000 dollars.
\n" ); document.write( "you get the same solution.
\n" ); document.write( "without knowing what either of them made, you can only know that gloria has to made 1.6 times as much as manny makes, whatever that is.\r
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