document.write( "Question 409124: Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters and how many dimes. How do i set this up? \n" ); document.write( "

Algebra.Com's Answer #288064 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"q\"$ = number of quarters
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"25q+%2B+10d+=+945\"$ (in cents)
\n" ); document.write( "(2) $\"q+%2B+d+=+60\"$
\n" ); document.write( "Multiply both sides of (2) by $\"10\"$
\n" ); document.write( "and subtract from (1)
\n" ); document.write( "(1) $\"25q+%2B+10d+=+945\"$
\n" ); document.write( "(2) $\"-10q+-+10d+=+-600\"$
\n" ); document.write( " $\"15q+=+345\"$
\n" ); document.write( " $\"q+=+23\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"q+%2B+d+=+60\"$
\n" ); document.write( " $\"d+=+60+-+23\"$
\n" ); document.write( " $\"d+=+37\"$
\n" ); document.write( "There are 37 dimes and 23 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"25q+%2B+10d+=+945\"$
\n" ); document.write( "(1) $\"25%2A23+%2B+10%2A37+=+945\"$
\n" ); document.write( " $\"575+%2B+370+=+945\"$
\n" ); document.write( " $\"945+=+945\"$
\n" ); document.write( "OK \n" ); document.write( "

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