document.write( "Question 653645: Carl has 35 dimes and nickelswhich total $2.55. How many of each type of each coin does he have. \n" ); document.write( "

Algebra.Com's Answer #408455 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) $\"+n+%2B+d+=+35+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+255+\"$ ( in cents )
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+255+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-175+\"$
\n" ); document.write( " $\"+5d+=+80+\"$
\n" ); document.write( " $\"+d+=+16+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+35+\"$
\n" ); document.write( "(1) $\"+n+%2B+16+=+35+\"$
\n" ); document.write( "(1) $\"+n+=+19+\"$
\n" ); document.write( "He has 19 nickels and 16 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A19+%2B+10%2A16+=+255+\"$
\n" ); document.write( "(2) $\"+95+%2B+160+=+255+\"$
\n" ); document.write( "(2) $\"+255+=+255+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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