document.write( "Question 657292: A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return? \n" ); document.write( "
Algebra.Com's Answer #409811 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = number of nickels
\n" ); document.write( "Let \"+d+\" = number of dimes
\n" ); document.write( "Let \"+q+\" = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+d+=+n+%2B+9+\"
\n" ); document.write( "(2) \"+q+=+d+%2B+21+\"
\n" ); document.write( "(3) \"+5n+%2B+10d+%2B+25q+=+1000+\" ( in cents )
\n" ); document.write( "----------------------------
\n" ); document.write( "From (1):
\n" ); document.write( "(1) \"+n+=+d+-+9+\"
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) \"+5%2A%28+d+-+9+%29+%2B+10d+%2B+25%2A%28+d+%2B+21+%29+=+1000+\"
\n" ); document.write( "(3) \"+5d+-+45+%2B+10d+%2B+25d+%2B+525+=+1000+\"
\n" ); document.write( "(3) \"+40d+=+1000+-+525+%2B+45+\"
\n" ); document.write( "(3) \"+40d+=+520+\"
\n" ); document.write( "(3) \"+d+=+13+\"
\n" ); document.write( "--------------
\n" ); document.write( "and
\n" ); document.write( "(1) \"+n+=+d+-+9+\"
\n" ); document.write( "(1) \"+n+=+13+-+9+\"
\n" ); document.write( "(1) \"+n+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+q+=+d+%2B+21+\"
\n" ); document.write( "(2) \"+q+=+13+%2B+21+\"
\n" ); document.write( "(2) \"+q+=+34+\"
\n" ); document.write( "She returned
\n" ); document.write( "4 nickels
\n" ); document.write( "13 dimes
\n" ); document.write( "34 quarters
\n" ); document.write( "----------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+5%2A4+%2B+10%2A13+%2B+25%2A34+=+1000+\"
\n" ); document.write( "(3) \"+20+%2B+130+%2B+850+=+1000+\"
\n" ); document.write( "(3) \"+1000+=+1000+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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