document.write( "Question 195207: Tommy has dimes and nickles. He has 12 more nickles than dimes. The total is $1.65. How many of each does he have. Write an equation and show your work. \n" ); document.write( "

Algebra.Com's Answer #146630 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let n = no. of nickels; let d = no. of dimes
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\n" ); document.write( "Tommy has dimes and nickles. He has 12 more nickles than dimes.
\n" ); document.write( "n = d + 12
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\n" ); document.write( "The total is $1.65.
\n" ); document.write( ".05n + .10d = 1.65
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\n" ); document.write( "How many of each does he have.
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\n" ); document.write( "Substitute (d+12) for n in the above equation:
\n" ); document.write( ".05(d+12) + .10d = 1.65
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\n" ); document.write( ".05d + .6 + .1d = 1.65
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\n" ); document.write( ".05d + .1d = 1.65 - .6
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\n" ); document.write( ".15d = 1.05
\n" ); document.write( "d = $\"1.05%2F.15\"$
\n" ); document.write( "d = 7 dimes
\n" ); document.write( "then
\n" ); document.write( "n = 7 + 12
\n" ); document.write( "n = 19 nickels
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\n" ); document.write( "Check solution
\n" ); document.write( ".05(19) + .10(7) =
\n" ); document.write( ".95 + .70 = 1.65; confirms our solutions
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