document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178041>Question 178041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Conrad has a collection of three types of coins: nickels, dimes and quarters. There are five more nickels than quarters but four times as many dimes as quarters. If the entire collection is worth $5.85, how many nickels, dimes, and quarters are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133105 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Conrad has a collection of three types of coins: nickels, dimes and quarters.<BR>\n" );
document.write( " There are five more nickels than quarters but four times as many dimes as<BR>\n" );
document.write( " quarters. If the entire collection is worth $5.85, how many nickels, dimes,<BR>\n" );
document.write( " and quarters are there?<BR>\n" );
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document.write( "let n, d, and q = no. of each coin<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( ":\"<BR>\n" );
document.write( "\" There are five more nickels than quarters\"<BR>\n" );
document.write( "n = (q+5)<BR>\n" );
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document.write( "\" but four times as many dimes as quarters.\"<BR>\n" );
document.write( "d = 4q<BR>\n" );
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document.write( "\" If the entire collection is worth $5.85, \"<BR>\n" );
document.write( ".05n + .10d + .25q = 5.85<BR>\n" );
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document.write( "how many nickels, dimes, and quarters are there?<BR>\n" );
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document.write( "Using the first two equations, substitute for n and d in the total$ equation:<BR>\n" );
document.write( ".05(q+5) + .10(4q) + .25q = 5.85<BR>\n" );
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document.write( ".05q + .25 + .4q + .25q = 5.85<BR>\n" );
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document.write( ".05q + .4q + .25q = 5.85 - .25<BR>\n" );
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document.write( ".7q = 5.60<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.6%2F.7 ALIGN=MIDDLE  ALT=\"5.6%2F.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = 8 quarters<BR>\n" );
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document.write( "I'll let you find the number of nickels and dimes<BR>\n" );
document.write( "Check your solutions in the total$ equation </SPAN>\n" );
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