document.write( "Question 458303: if total is $6.10 and there is a combination of nickles and dimes that add up to a total of 80 coins hom many nickles and how many dimes each are there \n" ); document.write( "

Algebra.Com's Answer #314389 by mananth(16946) $\"\"$ $\"About$

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Nickels x
\n" ); document.write( "Dimes y
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\n" ); document.write( "1 x + 1 y = 80 .............1
\n" ); document.write( "5 x + 10 y = 610 .............2
\n" ); document.write( "
\n" ); document.write( "multiply (1)by -10
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-10 x -10 y = -800
\n" ); document.write( "5 x 10 y = 610
\n" ); document.write( "Add the two equations
\n" ); document.write( "-5 x = -190
\n" ); document.write( "/ -5
\n" ); document.write( "x = 38 Nickels
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 80
\n" ); document.write( "38 + 1 y = 80
\n" ); document.write( " 1 y = 80 -38
\n" ); document.write( " 1 y = 42
\n" ); document.write( " y = 42 Dimes
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