document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12603>Question 12603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know the result to this problem, but am having a hard time finding the equation that works for it. I spent 2 hours on it last night with no luck, can you help me please? The question is as follows:\r<BR>\n" );
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document.write( "Abby has 37 coins, consisting only of dimes and quarters, woth $7.45. How many dimes and how many quarters does she have?\r<BR>\n" );
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document.write( "I know that she has 25 quarters and 12 dimes, but that is form simple math.\r<BR>\n" );
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document.write( "Thanks for the help!!\r<BR>\n" );
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document.write( "Capesch </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6419 by </B><A HREF=/tutors/aboutme.mpl?userid=AdolphousC><B>AdolphousC(70)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AdolphousC><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to set this up as a system of linear equations,<BR>\n" );
document.write( "Define your varibles, Let D = # of Dimes, and Q = # of Quarters<BR>\n" );
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document.write( "First Equation is the one where you actually just count the coins...<BR>\n" );
document.write( "D + Q = 37\r<BR>\n" );
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document.write( "Now, adding the value of the coins, here is where you count the money,<BR>\n" );
document.write( "Dimes are worth 10 cents and quarters 25...<BR>\n" );
document.write( ".1D + .25Q = 7.45<BR>\n" );
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document.write( "D + Q = 37<BR>\n" );
document.write( ".1D + .25Q = 7.45<BR>\n" );
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document.write( "Now you have a simple system, I will multiply the top by .1\r<BR>\n" );
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document.write( ".1(D + Q = 37)<BR>\n" );
document.write( ".1D + .25Q = 7.45<BR>\n" );
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document.write( ".1D + .1Q = 3.7<BR>\n" );
document.write( ".1D + .25Q = 7.45 Now subtract the two equations<BR>\n" );
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document.write( "-.15Q = -3.75 Divide both sides by -.15<BR>\n" );
document.write( "Q = 25\r<BR>\n" );
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document.write( "Now substitute into your original equations<BR>\n" );
document.write( "D + Q = 37<BR>\n" );
document.write( "D + 25 = 37 Subtract<BR>\n" );
document.write( "D = 12\r<BR>\n" );
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document.write( "So she indeed has 25 Quarters and 12 Dimes\r<BR>\n" );
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document.write( " </SPAN>\n" );
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