document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535195>Question 535195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jose has been collecting quarters and nickels. He empites his wallet to find that he has 32 coins (only quarters and nickels) worth $4.40. How many quarters and how many nickels does Jose have </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351794 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Q = # quarters<BR>\n" );
document.write( "Let N = # nickels<BR>\n" );
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document.write( "Given two facts:<BR>\n" );
document.write( "Q + N = 32 <BR>\n" );
document.write( ".25Q + .05N = 4.40<BR>\n" );
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document.write( "The basic method is to isolate one of the unknowns in one of the equations and then substitute that equality back into the other equation.<BR>\n" );
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document.write( "Restate 1st equation as Q = 32 - N<BR>\n" );
document.write( "Substitute this into the 2nd equation:<BR>\n" );
document.write( "...<BR>\n" );
document.write( ".25(32 - N) + .05N = 4.40<BR>\n" );
document.write( "8 - .25N + .05N = 4.40<BR>\n" );
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document.write( "Simplify by combining all like terms and rearrange:<BR>\n" );
document.write( "8 - .20N = 4.40<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Add .20N to both sides:<BR>\n" );
document.write( "8 - .20N + .20N = 4.40 + .20N<BR>\n" );
document.write( "8 = 4.40 + .20N<BR>\n" );
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document.write( "Subtract 4.40 from both sides:<BR>\n" );
document.write( "8 - 4.40 = 4.40 - 4.40 + .20N<BR>\n" );
document.write( "3.60 = .20N<BR>\n" );
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document.write( "Multiply both sides by 5 (so we get a whole N)<BR>\n" );
document.write( "5(3.60) = 5(.20N)<BR>\n" );
document.write( "18 = N<BR>\n" );
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document.write( "This represents the # of nickels as we set up the problem.  Let's go back and find Q, the # of quarters then check our work:<BR>\n" );
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document.write( "From 1st equation, Q + N = 32, restated as Q = 32 - N, solve for Q:<BR>\n" );
document.write( "Q = 32 - (18)<BR>\n" );
document.write( "Q = 14<BR>\n" );
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document.write( "Check N = 18 and Q = 14 against the 2nd equation:<BR>\n" );
document.write( ".25(14) + .05(18) = 4.40<BR>\n" );
document.write( "3.50 + .90 = 4.40<BR>\n" );
document.write( "4.40 = 4.40 checks<BR>\n" );
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document.write( "Q = 14 and N = 18 are the answers to the problem.<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Lee </SPAN>\n" );
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