document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110884>Question 110884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Coin problem: a bank teller had 135 quarters, dimes and nickels in his till totaling $23.50.  There were 3 times as many quarters as nickels. How many of each coin were there? I tried  N=3Q. N+D+Q = 135. 3Q+D+Q=135. 4Q+D=135. D=135-4Q. 5N+10D+25Q=2350.  5(3Q)+10(135-4Q)+25Q=2350. Once I simplify the expression I keep getting 0Q=1000. Please Help. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80939 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"----There were 3 times as many quarters as nickels----\" I BELIEVE THIS WOULD BE WRITTEN AS: Q=3N<BR>\n" );
document.write( "Let Q=number of quarters<BR>\n" );
document.write( "D=number of dimes<BR>\n" );
document.write( "N=number of nickels<BR>\n" );
document.write( "N+D+Q=135----------------------------eq1<BR>\n" );
document.write( "5N+10D+25Q=2350--------------------------eq2<BR>\n" );
document.write( "Q=3N--------------------------------------eq3\r<BR>\n" );
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document.write( "Multiply eq1 by 10 and subtract it from eq2 and we get<BR>\n" );
document.write( "   5N+10D+25Q=2350<BR>\n" );
document.write( "(-)10N+10D+10Q=1350\r<BR>\n" );
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document.write( "-5N+15Q=1000  Now substitute Q=3N from eq3 into this\r<BR>\n" );
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document.write( "-5N+15(3N)=1000<BR>\n" );
document.write( "-5N+45N=1000<BR>\n" );
document.write( "40N=1000<BR>\n" );
document.write( "N=25----------------------------number of nickels<BR>\n" );
document.write( "Q=3N<BR>\n" );
document.write( "Q=3*25=75------------------------number of quarters\r<BR>\n" );
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document.write( "From eq1:\r<BR>\n" );
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document.write( "N+D+Q=135\r<BR>\n" );
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document.write( "25+D+75=135<BR>\n" );
document.write( "D=35------------------------------------number of dimes\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "10*35+75*25+25*5=2350<BR>\n" );
document.write( "350+1875+125=2350<BR>\n" );
document.write( "2350=2350\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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