document.write( "Question 1078087: how to solve this problem: \r
\n" ); document.write( "\n" ); document.write( "A class contributed $19.00 in quarters and dimes to the Red Cross. In all their 100 coins. How many were there of each card?
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Algebra.Com's Answer #692568 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+=+100+\"
\n" ); document.write( "(2) \"+10d+%2B+25q+=+1900+\" ( in cents )
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\n" ); document.write( "(2) \"+2d+%2B+5q+=+380+\"
\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+=+380+\"
\n" ); document.write( "(1) \"+-2d+-+2q+=+-200+\"
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\n" ); document.write( "\"+3q+=+180+\"
\n" ); document.write( "\"+q+=+60+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+%2B+q+=+100+\"
\n" ); document.write( "(1) \"+d+%2B+60+=+100+\"
\n" ); document.write( "(1) \"+d+=+40+\"
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\n" ); document.write( "There are 40 dimes and 60 quarters
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10d+%2B+25q+=+1900+\"
\n" ); document.write( "(2) \"+10%2A40+%2B+25%2A60+=+1900+\"
\n" ); document.write( "(2) \"+400+%2B+1500+=+1900+\"
\n" ); document.write( "(2) \"+1900+=+1900+\"
\n" ); document.write( "OK
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