document.write( "Question 918403: A piggy bank contains 60 coins, all dimes and quarters. The total amount of money is $11.40. How many of each is there?\r
\n" ); document.write( "\n" ); document.write( "Please Help, I need this for my Algebra\r
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Algebra.Com's Answer #557058 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = number of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
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\n" ); document.write( "(1) $\"+d+%2B+q+=+60+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+1140+\"$ ( in cents )
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+228+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+228+\"$
\n" ); document.write( "(1) $\"+-2d+-+2q+=+-120+\"$
\n" ); document.write( " $\"+3q+=+108+\"$
\n" ); document.write( " $\"+q+=+36+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+%2B+q+=+60+\"$
\n" ); document.write( "(1) $\"+d+=+60+-+36+\"$
\n" ); document.write( "(1) $\"+d+=+24+\"$
\n" ); document.write( "---------------
\n" ); document.write( "There are 24 dimes and 36 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+1140+\"$
\n" ); document.write( "(2) $\"+10%2A24+%2B+25%2A36+=+1140+\"$
\n" ); document.write( "(2) $\"+240+%2B+900+=+1140+\"$
\n" ); document.write( "(2) $\"+1140+=+1140+\"$
\n" ); document.write( "OK\r
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