document.write( "Question 499402: Mike has $2.05 in dimes and nickels. If he has 8 more nickels than dimes, how many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #337644 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"n\"$ = number of nickels
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+=+d+%2B+8+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+205+\"$ ( in cents )
\n" ); document.write( "-------------------
\n" ); document.write( "divide both sides of (2) by $\"5\"$
\n" ); document.write( "(2) $\"+n+%2B+2d+=+41+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+d+%2B+8+%2B+2d+=+41+\"$
\n" ); document.write( "(2) $\"+3d+=+33+\"$
\n" ); document.write( "(2) $\"+d+=+11+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+=+d+%2B+8+\"$
\n" ); document.write( "(1) $\"+n+=+11+%2B+8+\"$
\n" ); document.write( "(1) $\"+n+=+19+\"$
\n" ); document.write( "He has 19 nickels and 11 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+205+\"$
\n" ); document.write( "(2) $\"+5%2A19+%2B+10%2A11+=+205+\"$
\n" ); document.write( "(2) $\"+95+%2B+110+=+205+\"$
\n" ); document.write( "(2) $\"+205+=+205+\"$
\n" ); document.write( "OK \n" ); document.write( "

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