document.write( "Question 224987: sue took her collection of dimes and nickels to the bank..she has 5 fewer nickels than dimes...her total deposit was 55.40...how many dimes did she deposit?
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Algebra.Com's Answer #167991 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels she had
\n" ); document.write( "Let $\"d\"$ = number of dimes she had
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"n+=+d+-+5\"$
\n" ); document.write( "(2) $\"5n+%2B+10d+=+5540\"$ (in cents)
\n" ); document.write( "-----------------
\n" ); document.write( "Rewrite (1)
\n" ); document.write( "(1) $\"n+-+d+=+-5\"$
\n" ); document.write( "Multiply both sides by $\"10\"$
\n" ); document.write( "(1) $\"10n+-+10d+=+-50\"$
\n" ); document.write( "Now add to (2)
\n" ); document.write( "(2) $\"5n+%2B+10d+=+5540\"$
\n" ); document.write( "(1) $\"10n+-+10d+=+-50\"$
\n" ); document.write( " $\"15n+=+5490\"$
\n" ); document.write( " $\"n+=+366\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"n+=+d+-+5\"$
\n" ); document.write( " $\"366+=+d+-+5\"$
\n" ); document.write( " $\"d+=+366+%2B+5\"$
\n" ); document.write( " $\"d+=+371\"$
\n" ); document.write( "Sue had 366 nickels and 371 dimes
\n" ); document.write( "check answer
\n" ); document.write( "She has 5 fewer nickels than dimes
\n" ); document.write( "(2) $\"5n+%2B+10d+=+5540\"$
\n" ); document.write( " $\"5%2A366+%2B+10%2A371+=+5540\"$
\n" ); document.write( " $\"1830+%2B+3710+=+5540\"$
\n" ); document.write( " $\"5540+=+5540\"$
\n" ); document.write( "OK\r
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