document.write( "Question 473003: Alycias piggy bank has dimes and quarters in it. the number of dimes is four less then three times the number of quarters. If the total value of the coins is $7.85 how many dimes are in the piggy bann? \n" ); document.write( "

Algebra.Com's Answer #324326 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) $\"+10d+%2B+25q+=+785+\"$ (in cents)
\n" ); document.write( "(2) $\"+d+=+3q+-+4+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+10%2A%283q+-+4%29+%2B+25q+=+785+\"$
\n" ); document.write( "(1) $\"+30q+-+40+%2B+25q+=+785+\"$
\n" ); document.write( "(1) $\"+55q+=+785+%2B+40+\"$
\n" ); document.write( "(1) $\"+55q+=+825+\"$
\n" ); document.write( "(1) $\"+q+=+15+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+d+=+3q+-+4+\"$
\n" ); document.write( "(2) $\"+d+=+3%2A15+-+4+\"$
\n" ); document.write( "(2) $\"+d+=+45+-+4+\"$
\n" ); document.write( "(2) $\"+d+=+41+\"$
\n" ); document.write( "There are 41 dimes
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+10d+%2B+25q+=+785+\"$
\n" ); document.write( "(1) $\"+10%2A41+%2B+25%2A15+=+785+\"$
\n" ); document.write( "(1) $\"+410+%2B+375+=+785+\"$
\n" ); document.write( "(1) $\"+785+=+785+\"$
\n" ); document.write( "OK \n" ); document.write( "

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