document.write( "Question 1207307: Hi
\n" ); document.write( "Alan has 13 pieces of $2 $5 and $10 notes in his wallet. If the amount of money he has is $67 how many pieces of each note does he have
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Algebra.Com's Answer #845103 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "BILL      VALUE-FACE         VARIABLE      MONEY\r\n" );
document.write( "Ten       10                    x          10x\r\n" );
document.write( "Fove       5                    y           5y\r\n" );
document.write( "Two        2                    z           2z\r\n" );
document.write( "TOTAL                                      67\r\n" );
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document.write( "And,  \"x%2By%2Bz=13\", for 13 pieces\r\n" );
document.write( "\"10x%2B5y%2B2z=67\", for amount of money.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Eliminate z, to have a single equation in x and y.\r
\n" ); document.write( "\n" ); document.write( "\"system%282x%2B2y%2B2z=26%2C10x%2B5y%2B2z=67%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8x%2B3y=41\"---------find some meaningful whole value combinations for x and y.\r
\n" ); document.write( "\n" ); document.write( "\"3y=-8x%2B41\"
\n" ); document.write( "\"y=-%288%2F3%29x%2B41%2F3\"
\n" ); document.write( "(1,11)
\n" ); document.write( "(4,3)\r
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\n" ); document.write( "\n" ); document.write( "What happens to z for either of those two x & y pair?
\n" ); document.write( "Either (1,11,1) or (4,3,6).\r
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\n" ); document.write( "\n" ); document.write( "How is the money quantity with each of those?
\n" ); document.write( "\"10%2A1%2B5%2A11%2B2%2A1=67\"----A Match!
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\n" ); document.write( "\"10%2A4%2B5%2A3%2B2%2A6\"-----also match!\r
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\n" ); document.write( "\n" ); document.write( "RESULT:
\n" ); document.write( "One of $10 bill
\n" ); document.write( "Eleven of $5 bill
\n" ); document.write( "One of $2 bill\r
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\n" ); document.write( "\n" ); document.write( "Also
\n" ); document.write( "four of $10
\n" ); document.write( "three of $5
\n" ); document.write( "six of $2
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