document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132844>Question 1132844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total value of quarters and dimes in a coin bank is $6.90.<BR>\n" );
document.write( "If the quarters were dimes and the dimes were quarters the total value of the coins would be $7.80.\r<BR>\n" );
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document.write( "a) set up a system of equations to represent the situation. <BR>\n" );
document.write( "b) find the number of quarters in the bank. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749985 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total value of quarters and dimes in a coin bank is $6.90.<BR>\n" );
document.write( "If the quarters were dimes and the dimes were quarters the total value of the coins would be $7.80.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "25q + 10d = 690<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Each swap of a dime for a quarter adds 15 cents.<BR>\n" );
document.write( "780 - 690 = 90<BR>\n" );
document.write( "90/15 = 6 swaps, which is the difference between the # of d's and q's<BR>\n" );
document.write( "Since the total increases, d > q<BR>\n" );
document.write( "----<BR>\n" );
document.write( "d - q = 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "10d + 25q = 690 --> 5q + 2d = 138<BR>\n" );
document.write( "2d + 5q = 138<BR>\n" );
document.write( "2d - 2q = 12<BR>\n" );
document.write( "-------------------- Subtract<BR>\n" );
document.write( "7q = 126<BR>\n" );
document.write( "q = 18 quarters<BR>\n" );
document.write( "d = 24 dimes </SPAN>\n" );
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