document.write( "Question 157310: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the number of dimes. How many dimes are there?\r
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\n" ); document.write( "\n" ); document.write( "I did some work but I cant figure it out
\n" ); document.write( "D+N+Q=197
\n" ); document.write( "D=1/3N+2
\n" ); document.write( "Q=3D \n" ); document.write( "

Algebra.Com's Answer #115951 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"q+%2B+d+%2B+n+=+197\"$
\n" ); document.write( "(2) $\"d+=+%281%2F3%29%2An+%2B+2\"$
\n" ); document.write( "(3) $\"q+=+3d\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(1) and (3) substitution
\n" ); document.write( "(4) $\"3d+%2B+d+%2B+n+=+197\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(2) $\"d+=+%281%2F3%29%2An+%2B+2\"$
\n" ); document.write( " $\"3d+=+n+%2B+6\"$
\n" ); document.write( " $\"n+=+3d+-+6\"$
\n" ); document.write( "substitute this in (4)
\n" ); document.write( " $\"3d+%2B+d+%2B+3d+-+6+=+197\"$
\n" ); document.write( " $\"7d+=+203\"$
\n" ); document.write( " $\"d+=+29\"$
\n" ); document.write( "There are 29 dimes
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"q+=+3d\"$
\n" ); document.write( " $\"q+=+3%2A29\"$
\n" ); document.write( " $\"q+=+87\"$
\n" ); document.write( "---------------
\n" ); document.write( " $\"n+=+3d+-+6\"$
\n" ); document.write( " $\"n+=+3%2A29+-+6\"$
\n" ); document.write( " $\"n+=+81\"$
\n" ); document.write( " $\"q+%2B+d+%2B+n+=+197\"$
\n" ); document.write( " $\"87+%2B+29+%2B+81+=+197\"$
\n" ); document.write( " $\"197+=+197\"$
\n" ); document.write( "OK \n" ); document.write( "

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