document.write( "Question 1091830: sue has a collection of quarters and nickels. she has 17 coins whose total value is $1.85. How many of each type of coin does she have \n" ); document.write( "

Algebra.Com's Answer #706292 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+q+\"$ = number of quarters
\n" ); document.write( "Let $\"+n+\"$ = number of nickels
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+n+%2B+q+=+17+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+185+\"$ ( in cents )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$ and
\n" ); document.write( "subtract (1) fom (2)
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+185+\"$
\n" ); document.write( "(1) $\"+-5n+-+5q+=+-85+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+20q+=+100+\"$
\n" ); document.write( " $\"+q+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+q+=+17+\"$
\n" ); document.write( "(1) $\"+n+%2B+5+=+17+\"$
\n" ); document.write( "(1) $\"+n+=+12+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "She has 5 quarters and 12 nickels
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A12+%2B+25%2A5+=+185+\"$
\n" ); document.write( "(2) $\"+60+%2B+125+=+185+\"$
\n" ); document.write( "(2) $\"+185+=+185+\"$
\n" ); document.write( "OK \n" ); document.write( "

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