document.write( "Question 462494: Jeff has $3.15 made up of nickels and dimes. If he has five times as many nickels as dimes, how many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #317056 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+315+\"$ (in cents)
\n" ); document.write( "(2) $\"+n+=+5d+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+5%2A%285d%29+%2B+10d+=+315+\"$
\n" ); document.write( "(1) $\"+25d+%2B+10d+=+315+\"$
\n" ); document.write( "(1) $\"+35d+=+315+\"$
\n" ); document.write( "(1) $\"+d+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+n+=+5d+\"$
\n" ); document.write( "(2) $\"+n+=+45+\"$
\n" ); document.write( "Jeff has 9 dimes
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+315+\"$
\n" ); document.write( "(1) $\"+5%2A45+%2B+10%2A9+=+315+\"$
\n" ); document.write( "(1) $\"+225+%2B+90+=+315+\"$
\n" ); document.write( "(1) $\"+315+=+315+\"$
\n" ); document.write( "OK \n" ); document.write( "

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