document.write( "Question 1074563: Bill has 29 coins whose value is $4.35. He has four more nickels than dimes, and the rest of his coins are quarters. How many of each kind of coins does he have? \n" ); document.write( "
Algebra.Com's Answer #689213 by josgarithmetic(39630)\"\" \"About 
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\"system%28n%2Bd%2Bq=29%2C0.05n%2B0.1d%2B0.25q=4.35%2Cn-d=4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28n%2Bd%2Bq=29%2Cn%2B2d%2B5q=87%2Cn=d%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute for n.
\n" ); document.write( "-
\n" ); document.write( "\"2d%2Bq=29-4\"
\n" ); document.write( "\"2d%2Bq=25\"
\n" ); document.write( "-
\n" ); document.write( "\"d%2B4%2B2d%2B5q=87\"
\n" ); document.write( "\"3d%2B5q=83\"
\n" ); document.write( "-\r
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\n" ); document.write( "\n" ); document.write( "Simpler system in just d and q,
\n" ); document.write( "\"system%282d%2Bq=25%2C3d%2B5q=83%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute for q;
\n" ); document.write( "\"3d%2B5%2825-2d%29=83\"
\n" ); document.write( "\"3d%2B125-10d=83\"
\n" ); document.write( "\"-7d=83-125\"
\n" ); document.write( "\"7d=125-83\"
\n" ); document.write( "\"7d=42\"
\n" ); document.write( "\"highlight%28d=6%29\"\r
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\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "\"highlight%28n=10%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"q=29-16\"
\n" ); document.write( "\"highlight%28q=13%29\"\r
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\n" ); document.write( "\n" ); document.write( "CHECK
\n" ); document.write( "\"6%2A0.1%2B10%2A0.05%2B13%2A0.25\"
\n" ); document.write( "\"0.6%2B0.5%2B3.25\"
\n" ); document.write( "\"1.1%2B3.25\"
\n" ); document.write( "\"4.35\" yes
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