document.write( "Question 519446: Bob collects dimes and quarters. He has $31.70 total. If he has 5 fewer dimes than quarters, how many of each does he have? \n" ); document.write( "

Algebra.Com's Answer #345615 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = number of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+=+q+-+5+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+3170+\"$ ( in cents)
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+634+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+-d+%2B+q+=+5+\"$
\n" ); document.write( "(1) $\"+-2d+%2B+2q+=+10+\"$
\n" ); document.write( "Add the equations
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+634+\"$
\n" ); document.write( "(1) $\"+-2d+%2B+2q+=+10+\"$
\n" ); document.write( " $\"+7q+=+644+\"$
\n" ); document.write( " $\"+q+=+92+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+q+-+5+\"$
\n" ); document.write( "(1) $\"+d+=+92+-+5+\"$
\n" ); document.write( "(1) $\"+d+=+87+\"$
\n" ); document.write( "He has 87 dimes and 92 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10%2A87+%2B+25%2A92+=+3170+\"$
\n" ); document.write( "(2) $\"+870+%2B+2300+=+3170+\"$
\n" ); document.write( "(2) $\"+3170+=+3170+\"$
\n" ); document.write( "OK \n" ); document.write( "

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