document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=658455>Question 658455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I used quarters to pay a loan from Brad. If I had paid using nickels, I would have needed 72 more of them. How much did I owe Brad?\r<BR>\n" );
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document.write( "We somehow figured out that the amount is $4.50 but have no idea how we figured it out! I think it was trial and error. The numbers $3.60 and 14.4 keep coming up...? Please help, my brain is exploding trying to help my son with this question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #410282 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=410282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I used quarters to pay a loan from Brad. If I had paid using nickels, I would have needed 72 more of them. How much did I owe Brad?\r<BR>\n" );
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document.write( "We somehow figured out that the amount is $4.50 but have no idea how we figured it out! I think it was trial and error. The numbers $3.60 and 14.4 keep coming up...? Please help, my brain is exploding trying to help my son with this question.\r<BR>\n" );
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document.write( "Are you saying that if you used nickels, you would’ve needed 72 more than the amount of quarters used? If so, the solution follows.\r<BR>\n" );
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document.write( "Let amount of quarters used to pay loan be Q<BR>\n" );
document.write( "Then amount of nickels that would be needed to pay the loan = Q + 72\r<BR>\n" );
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document.write( "The value of the quarters or the amount you paid Brad = .25Q, or value of the nickels needed to pay Brad = .05(Q + 72)\r<BR>\n" );
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document.write( "Since these 2 amounts have the same value, we can say that:<BR>\n" );
document.write( ".25Q = .05(Q + 72)<BR>\n" );
document.write( ".25Q = .05Q + 3.6<BR>\n" );
document.write( ".25Q - .05Q = 3.6<BR>\n" );
document.write( ".2Q = 3.6<BR>\n" );
document.write( "Q, or amount of quarters used to pay loan = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.6%2F.2 ALIGN=MIDDLE  ALT=\"3.6%2F.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 18\r<BR>\n" );
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document.write( "This means that the amount of the loan, using quarters, was: .25(18), or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284.50%29 ALIGN=MIDDLE  ALT=\"highlight_green%284.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "Also, using nickels, we have: .05(18 + 72), or .05(90), or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284.50%29 ALIGN=MIDDLE  ALT=\"highlight_green%284.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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