document.write( "Question 1129647: If Darius has 16 quarters and nickels in his pocket, and they have a combined value of 260 cents, how many of each coin does he have?
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Algebra.Com's Answer #746232 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+q+\"$ = number of quarters
\n" ); document.write( "Let $\"+n+\"$ = number of nickels
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\n" ); document.write( "(1) $\"+n+%2B+q+=+16+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+260+\"$
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\n" ); document.write( "(2) $\"+n+%2B+5q+=+52+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( " $\"+n+%2B+5q+=+52+\"$
\n" ); document.write( " $\"+-n+-+q+=+-16+\"$
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+4q+=+36+\"$
\n" ); document.write( " $\"+q+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+9+=+16+\"$
\n" ); document.write( "(1) $\"+n+=+7+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "7 nickels
\n" ); document.write( "9 quarters
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\n" ); document.write( "check:
\n" ); document.write( " $\"+5n+%2B+25q+=+260+\"$
\n" ); document.write( " $\"+5%2A7+%2B+25%2A9+=+260+\"$
\n" ); document.write( " $\"+35+%2B+225+=+260+\"$
\n" ); document.write( " $\"+260+=+260+\"$
\n" ); document.write( "OK \n" ); document.write( "

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