document.write( "Question 833420: This is the system of equations problem...
\n" ); document.write( "\"Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?\"\r
\n" ); document.write( "\n" ); document.write( "I thought of this equation, but it isn't a system and I am not sure it would work either.
\n" ); document.write( "\"+%28.10x%2B3%29%2B.25y=4.5+\"\r
\n" ); document.write( "\n" ); document.write( "Could someone please explain how to solve this system of equations word problem? Thank so much and I really appreciate it.
\n" ); document.write( "

Algebra.Com's Answer #502525 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Convert dollar to cents
\n" ); document.write( "She has 450 cents
\n" ); document.write( "Let \"d\" = the number of dimes she has
\n" ); document.write( "Let \"q\" = the number of quarters she has
\n" ); document.write( "-------------------
\n" ); document.write( "(1) \"+d+=+q+%2B+3+\"
\n" ); document.write( "(2) \"+10d+%2B+25q+=+450+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+d+-+q+=+3+\"
\n" ); document.write( "Multiply both sides of (1) by \"25+\"
\n" ); document.write( "and add (1) and (2)
\n" ); document.write( "(2) \"+10d+%2B+25q+=+450+\"
\n" ); document.write( "(1) \"+25d+-+25q+=+75+\"
\n" ); document.write( "\"+35d+=+525+\"
\n" ); document.write( "\"+d+=+15+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+d+-+q+=+3+\"
\n" ); document.write( "(1) \"+q+=+d+-+3+\"
\n" ); document.write( "(1) \"+q+=+12+\"
\n" ); document.write( "She has 15 dimes and 12 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10d+%2B+25q+=+450+\"
\n" ); document.write( "(2) \"+10%2A15+%2B+12%2A25+=+450+\"
\n" ); document.write( "(2) \"+150+%2B+300+=+450+\"
\n" ); document.write( "(2) \"+450+=+450+\"
\n" ); document.write( "OK
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