document.write( "Question 665485: kelly saves all of her dimes and nickels in a jar on her desk. when she counts he money, she finds that she has 107 coins worth a total of $8.65. how many dimes and how many nickels does she have? \n" ); document.write( "

Algebra.Com's Answer #413895 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n+\"$ = number of nickels she has
\n" ); document.write( "Let $\"+d+\"$ = number of dimes she has
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+d+=+107+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+865+\"$ ( 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) $\"+5n+%2B+10d+=+865+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+535+\"$
\n" ); document.write( " $\"+5d+=+330+\"$
\n" ); document.write( " $\"+d+=+66+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+107+\"$
\n" ); document.write( "(1) $\"+n+%2B+66+=+107+\"$
\n" ); document.write( "(1) $\"+n+=+41+\"$
\n" ); document.write( "She has 41 nickels and 66 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A41+%2B+10%2A66+=+865+\"$
\n" ); document.write( "(2) $\"+205+%2B+660+=+865+\"$
\n" ); document.write( "(2) $\"+865+=+865+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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