document.write( "Question 178042: Juan has 16 coins, all nickels and dimes. This collection of coins is worth $1.15. How many nickels and dimes are there? \n" ); document.write( "

Algebra.Com's Answer #133017 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = the number of nickels
\n" ); document.write( "Let $\"d\"$ = the number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"n+%2B+d+=+16\"$
\n" ); document.write( "(2) $\"5n+%2B+10d+=+115\"$
\n" ); document.write( "and, from (1)
\n" ); document.write( " $\"d+=+16+-+n\"$
\n" ); document.write( " $\"5n+%2B+10%2A%2816+-+n%29+=+115\"$
\n" ); document.write( " $\"5n+%2B+160+-+10n+=+115\"$
\n" ); document.write( " $\"-5n+=+-45\"$
\n" ); document.write( " $\"n+=+9\"$
\n" ); document.write( " $\"d+=+16+-+n\"$
\n" ); document.write( " $\"d+=+16+-+9\"$
\n" ); document.write( " $\"d+=+7\"$
\n" ); document.write( "Juan has 9 nickels and 7 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"5n+%2B+10d+=+115\"$
\n" ); document.write( " $\"5%2A9+%2B+10%2A7+=+115\"$
\n" ); document.write( " $\"45+%2B+70+=+115\"$
\n" ); document.write( " $\"115+=+115\"$
\n" ); document.write( "OK \n" ); document.write( "

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