document.write( "Question 569084: Gaby's piggy bank contains nickels and quarters worth $3.60. If she has 28 coins in all, how many of each does she have? \n" ); document.write( "

Algebra.Com's Answer #367211 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+q+=+28+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+360+\"$ ( in cents )
\n" ); document.write( "-------------------
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+360+\"$
\n" ); document.write( "(1) $\"+-5n+-+5q+=+140+\"$
\n" ); document.write( " $\"+20q+=+220+\"$
\n" ); document.write( " $\"+q+=+11+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+q+=+28+\"$
\n" ); document.write( "(1) $\"+n+%2B+11+=+28+\"$
\n" ); document.write( "(1) $\"+n+=+17+\"$
\n" ); document.write( "She has 17 nickels and 11 quarters \n" ); document.write( "

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