document.write( "Question 833413: This is a system if equations word problem.\r
\n" ); document.write( "\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've tried this problem for over an hour and I just can't seem to get it. Thanks to anyone who can help! Could you please explain how you got the answer as well?
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Algebra.Com's Answer #502522 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Convert dollar to cents
\n" ); document.write( "She has \"+4.5%2A100+=+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+%2B+3+\"
\n" ); document.write( "(1) \"+15+=+q+%2B+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+25%2A12+=+450+\"
\n" ); document.write( "(2) \"+150+%2B+300+=+450+\"
\n" ); document.write( "(2) \"+450+=+450+\"
\n" ); document.write( "OK
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