document.write( "Question 163273: Does anyone know the proper formula for this word problem? I figured out the answer but could not figure out how to properly put it in formula format:\r
\n" ); document.write( "\n" ); document.write( "There are 10 coins consisting of nickles and dimes. There is 80 cents total. How many nickles and dimes are there?\r
\n" ); document.write( "\n" ); document.write( "So far I have tried: n+d=80 and n(5)+d(10)=80\r
\n" ); document.write( "\n" ); document.write( "Thank you! ~Melyssa
\n" ); document.write( "

Algebra.Com's Answer #120293 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Well Melyssa, you are on the right track! Let n = number of nickels and d = number of dimes.
\n" ); document.write( "Your two equations should be:
\n" ); document.write( "1) \"n%2Bd+=+10\" and...
\n" ); document.write( "2) \"0.05n%2B0.1d+=+0.8\" Substitute \"n+=+10-d\" from equation 1)
\n" ); document.write( "\"0.05%2810-d%29%2B0.1d+=+0.8\" Combine like-terms and simplify.
\n" ); document.write( "\"0.5-0.05d%2B0.1d+=+0.8\"
\n" ); document.write( "\"0.5%2B0.05d+=+0.8\" Subtract 0.5 from both sides.
\n" ); document.write( "\"0.05d+=+0.3\" Divide both sides by 0.05
\n" ); document.write( "\"d+=+6\" and \"n+=+10-d\" so \"n+=+4\"
\n" ); document.write( "So there are 6 dimes and 4 nickels.
\n" ); document.write( "Check:
\n" ); document.write( "6($0.10)+4($0.05) = $0.60+$0.20 = $0.80
\n" ); document.write( "
\n" );