document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160588>Question 1160588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A purse contains $3.45 in quarters, dimes, and nickels. It contains three fewer than three-fourths as many dimes as nickels, and two fewer quarters than dimes. How many nickels are in the purse? \r<BR>\n" );
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document.write( "I can not determine my first equation. <BR>\n" );
document.write( "This is what I have <BR>\n" );
document.write( "Nickels: x<BR>\n" );
document.write( "Dimes: 3/4x-3<BR>\n" );
document.write( "Quarters: (3/4x-3)-2\r<BR>\n" );
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document.write( "Do I have any of this correct and could you help me solve please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783912 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You are on the right track but have a little farther to go. Your three expressions are representative of the number of nickels, dimes, and quarters and are properly formed according to the parameters in the question.  However, the question does not provide information on the total number of coins.  It does provide the total value of the coins, so what you need to do is convert the expressions for numbers of coins to the values of the coins.  When I do one of these, I generally convert values given in dollars and cents to just cents so that I eliminate having to deal with decimal coefficients in my equations.\r<BR>\n" );
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document.write( "The value of a nickel is 5 cents, so the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> nickels is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5x\"> cents.  Similarly, the value of the dimes is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 10\(\frac{3}{4}x\,-\,3\)\"> cents and the value of the quarters is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 25\(\(\frac{3}{4}x\,-\,3\)\,-\,2\)\"> cents.  And since the total value is $3.45 which is 345 cents, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5x\ +\ 10\(\frac{3}{4}x\,-\,3\)\ +\ 25\(\frac{3}{4}x\,-\,5\)\ =\ 345\">\r<BR>\n" );
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document.write( "Expand the parentheticals\r<BR>\n" );
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document.write( "Collect the constant terms in the RHS\r<BR>\n" );
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document.write( "Multiply both sides by 4 to eliminate the fractions.\r<BR>\n" );
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document.write( "Collect the variable terms and divide by the resulting coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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