document.write( "Question 235870: What is the answer to: 20 coins consisting of dimes and quarters. Total value is $2.75 \n" ); document.write( "

Algebra.Com's Answer #173630 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) $\"d+%2B+q+=+20\"$
\n" ); document.write( "(2) $\"10d+%2B+25q+=+275\"$ (in cents)
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"10\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) $\"10d+%2B+25q+=+275\"$
\n" ); document.write( "(1) $\"-10d+-+10q+=+200\"$
\n" ); document.write( " $\"15q+=+75\"$
\n" ); document.write( " $\"q+=+5\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"d+%2B+q+=+20\"$
\n" ); document.write( " $\"d+%2B+5+=+20\"$
\n" ); document.write( " $\"d+=+15\"$
\n" ); document.write( "There are 5 quarters and 15 dimes
\n" ); document.write( " \n" ); document.write( "

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