document.write( "Question 63234: Can you please help with this word problem.\r
\n" ); document.write( "\n" ); document.write( "Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #43995 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"+.05n+%2B+.10d+=+5.65+\"$
\n" ); document.write( "2. $\"+.05%28n%2B8%29+%2B+.10%282d%29+=+10.45+\"$
\n" ); document.write( "solve equation 1 for nickles
\n" ); document.write( " $\"+.05n+%2B+.10d+=+5.65+\"$
\n" ); document.write( " $\"+.05n+=+5.65+-+.10d+\"$
\n" ); document.write( "divide all parts by .05
\n" ); document.write( " $\"+n+=+113+-+2d+\"$
\n" ); document.write( "substitute this back into equation 2
\n" ); document.write( " $\"+.05%28n%2B8%29+%2B+.10%282d%29+=+10.45+\"$
\n" ); document.write( " $\"+.05%28113-2d%2B8%29+%2B+.10%282d%29+=+10.45+\"$
\n" ); document.write( "combine like terms
\n" ); document.write( " $\"+.05%28105-2d%29+%2B+.10%282d%29+=+10.45+\"$
\n" ); document.write( "distribute
\n" ); document.write( " $\"+5.25+-+.1d+%2B+.2d+=+10.45+\"$
\n" ); document.write( "add like terms
\n" ); document.write( " $\"+5.25+%2B+.1d+=+10.45+\"$
\n" ); document.write( "subtract 5.25 from both sides
\n" ); document.write( " $\"+.1d+=+5.20+\"$
\n" ); document.write( "divide by .1
\n" ); document.write( " $\"+d+=+52+\"$
\n" ); document.write( "He has 52 dimes \n" ); document.write( "

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