document.write( "Question 60080: Hello,\r
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document.write( "Can you help me solve this problem? A woman made a deposit of $261. If her deposit consisted of 77 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit?\r
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document.write( "Thanks,
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document.write( "KC \n" );
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Algebra.Com's Answer #41285 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A woman made a deposit of $261. If her deposit consisted of 77 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit? \n" ); document.write( ": \n" ); document.write( "Let x = number of $1 bills; Let y = number of $5 bills \n" ); document.write( ": \n" ); document.write( "x + y = 77 \n" ); document.write( "y = (77 - x) \n" ); document.write( ": \n" ); document.write( "1x + 5y = 261 \n" ); document.write( ": \n" ); document.write( "Substitute (77-x) for y in the above equation: \n" ); document.write( "x + 5(77-x) = 261 \n" ); document.write( ": \n" ); document.write( "x + 385 - 5x = 261 \n" ); document.write( ": \n" ); document.write( "x - 5x = 261 - 385 \n" ); document.write( ": \n" ); document.write( "-4x = -124 \n" ); document.write( ": \n" ); document.write( "x = -124/-4 \n" ); document.write( ": \n" ); document.write( "x = + 31 ea $1 bills \n" ); document.write( ": \n" ); document.write( "y = 77 - 31 \n" ); document.write( ": \n" ); document.write( "y = 46 ea $5 bills \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check: 31 + 5(46) = $261 \n" ); document.write( " \n" ); document.write( " |