document.write( "Question 143228: I need some help with this word problem, setting it up to solve. Thanks.\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?
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Algebra.Com's Answer #104218 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Let d be the number of dimes, n be the number of nickels\r
\n" ); document.write( "\n" ); document.write( "Given: \"10d+%2B+5n+=+565\"
\n" ); document.write( "also given: \"10%282d%29+%2B+5%28n%2B8%29+=+1045\"
\n" ); document.write( "\"10%282d%29+%2B+5n+%2B+40+=+1045\"
\n" ); document.write( "\"20d+%2B+5n++=+1005\"\r
\n" ); document.write( "\n" ); document.write( "Solve for d
\n" ); document.write( "\"10d+%2B+5n+=+565\"
\n" ); document.write( "\"20d+%2B+5n++=+1005\" use elimination and subtract
\n" ); document.write( "-----------------------
\n" ); document.write( "\"-10d++++++=+-440\"
\n" ); document.write( "\"+d+=+44\"\r
\n" ); document.write( "\n" ); document.write( "check your answer. if \"d+=+44\", then \"n+=+%28565-440%29%2F5\"= \"25\"\r
\n" ); document.write( "\n" ); document.write( "Verify using the second equation.
\n" ); document.write( "\"20d+%2B+5%28n%2B8%29+=+1045\"
\n" ); document.write( "\"20%2A44+%2B+5%2825%2B8%29+=+1045\"
\n" ); document.write( "\"880+%2B+5%2A33+=+1045\"
\n" ); document.write( "\"880+%2B+165+=+1045\"
\n" ); document.write( "check!
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