document.write( "Question 213532: Nancy has 26 coins in her pocket. The coins are dimes and quarters and worth $3.65. How many dimes does she have? How many quarters does she have? \n" ); document.write( "

Algebra.Com's Answer #161397 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) $\"d+%2B+q+=+26\"$
\n" ); document.write( "(2) $\"10d+%2B+25q+=+365\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"10\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( " $\"10d+%2B+25q+=+365\"$
\n" ); document.write( " $\"-10d+-+10q+=+-260\"$
\n" ); document.write( " $\"15q+=+105\"$
\n" ); document.write( " $\"q+=+7\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"d+%2B+q+=+26\"$
\n" ); document.write( " $\"d+%2B+7+=+26\"$
\n" ); document.write( " $\"d+=+19\"$
\n" ); document.write( "Nancy has 19 dimes and 7 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"10d+%2B+25q+=+365\"$
\n" ); document.write( " $\"10%2A19+%2B+25%2A7+=+365\"$
\n" ); document.write( " $\"190+%2B+175+=+365\"$
\n" ); document.write( " $\"365+=+365\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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