document.write( "Question 201312: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but 3 times as many quarters as dimes. The total value of the coins was $11.40. How many coins of each type did Sam find?\r
\n" ); document.write( "\n" ); document.write( "6y=11.40
\n" ); document.write( "y=1.90\r
\n" ); document.write( "\n" ); document.write( "3z=11.40
\n" ); document.write( "z=3.80
\n" ); document.write( "3.80 + 1.90=5.70
\n" ); document.write( "11.40-5.70=5.70 \n" ); document.write( "
Algebra.Com's Answer #151534 by josmiceli(19441)\"\" \"About 
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Let \"n\" = number of nickels
\n" ); document.write( "Let \"d\" = number of dimes
\n" ); document.write( "Let \"q\" = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "\"d+=+n+%2B+6\"
\n" ); document.write( "\"q+=+3d\"
\n" ); document.write( "\"5n+%2B+10d+%2B+25q+=+1140\" (in pennies)
\n" ); document.write( "---------------------------
\n" ); document.write( "\"d+=+n+%2B+6\"
\n" ); document.write( "\"n+=+d+-+6\"
\n" ); document.write( "Then, by substituting,
\n" ); document.write( "\"5%2A%28d+-+6%29+%2B+10d+%2B+25%2A%283d%29+=+1140\"
\n" ); document.write( "\"5d+-+30+%2B+10d+%2B+75d+=+1140\"
\n" ); document.write( "\"90d+=+1170\"
\n" ); document.write( "\"d+=+13\"
\n" ); document.write( "And, since
\n" ); document.write( "\"n+=+d+-+6\"
\n" ); document.write( "\"n+=+13+-+6\"
\n" ); document.write( "\"n+=+7\"
\n" ); document.write( "Also,
\n" ); document.write( "\"q+=+3d\"
\n" ); document.write( "\"q+=+3%2A13\"
\n" ); document.write( "\"q+=+39\"
\n" ); document.write( "Sam found 7 nickels, 13 dimes and 39 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "\"5n+%2B+10d+%2B+25q+=+1140\"
\n" ); document.write( "\"5%2A7+%2B+10%2A13+%2B+25%2A39+=+1140\"
\n" ); document.write( "\"35+%2B+130+%2B+975+=+1140\"
\n" ); document.write( "\"1140+=+1140\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );