document.write( "Question 168128: Jim has a total of 50 coins. Some are nickels and some are dimes. Altogether he has $4.15. How many dimes does he have? How many nickels? \n" ); document.write( "

Algebra.Com's Answer #123905 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"n\"$ = number of nickels he has
\n" ); document.write( " $\"d\"$ = number of dimes he has
\n" ); document.write( "Given is
\n" ); document.write( "(1) $\"n+%2B+d+=+50\"$
\n" ); document.write( "(2) $\"d+=+50+-+n\"$
\n" ); document.write( " $\".05n+%2B+.1d+=+4.15\"$
\n" ); document.write( "Multiply both sides by $\"100\"$
\n" ); document.write( "(3) $\"5n+%2B+10d+=+415\"$
\n" ); document.write( "Substitute $\"d\"$ in (2) for $\"d\"$ in (3)
\n" ); document.write( " $\"5n+%2B+10%2A%2850+-+n%29+=+415\"$
\n" ); document.write( " $\"5n+%2B+500+-+10n+=+415\"$
\n" ); document.write( " $\"-5n+=+-85\"$
\n" ); document.write( " $\"n+=+17\"$
\n" ); document.write( "(2) $\"d+=+50+-+n\"$
\n" ); document.write( " $\"d+=+50+-+17\"$
\n" ); document.write( " $\"d+=+33\"$
\n" ); document.write( "He has 33 dimes and 17 nickels
\n" ); document.write( "check:
\n" ); document.write( " $\".05n+%2B+.1d+=+4.15\"$
\n" ); document.write( " $\".05%2A17+%2B+.1%2A33+=+4.15\"$
\n" ); document.write( " $\".85+%2B+3.3+=+4.15\"$
\n" ); document.write( " $\"4.15+=+4.15\"$
\n" ); document.write( "OK \n" ); document.write( "

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