document.write( "Question 542374: Phil has 50 nickels and dimes worth $4.15. How many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #354537 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) $\"+n+%2B+d+=+50+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+415+\"$ ( in cents )
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+415+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-250+\"$
\n" ); document.write( " $\"+5d+=+165+\"$
\n" ); document.write( " $\"+d+=+33+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+50+\"$
\n" ); document.write( "(1) $\"+n+%2B+33+=+50+\"$
\n" ); document.write( "(1) $\"+n+=+17+\"$
\n" ); document.write( "He has 33 dimes
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+415+\"$
\n" ); document.write( "(2) $\"+5%2A17+%2B+10%2A33+=+415+\"$
\n" ); document.write( "(2) $\"+85+%2B+330+=+415+\"$
\n" ); document.write( "(2) $\"+415+=+415+\"$
\n" ); document.write( "OK \n" ); document.write( "

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