document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23736>Question 23736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sue counted her money and found that her 25 coins which were nickels, dimes, and quarters were worth $3.20.  The number of dimes exceeded the number of nickels by 4.  How many coins of each kind did she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12518 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = no of nickels<BR>\n" );
document.write( "x+4 = no of dimes\r<BR>\n" );
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document.write( "The total of the nickels and dimes is 2x + 4, and the total number of coins is 25.  Therefore the number of quarters is actually 25 - (total of nickels and dimes).\r<BR>\n" );
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document.write( "25-(2x+4) = no of quarters<BR>\n" );
document.write( "25 - 2x - 4 = no quarters<BR>\n" );
document.write( "21 - 2x = no quarters\r<BR>\n" );
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document.write( "Values of the coins (in cents) is the value of each coin (in cents) times the number of coins:<BR>\n" );
document.write( "5*x = value of nickels<BR>\n" );
document.write( "10*(x+4)= value of dimes<BR>\n" );
document.write( "25*(21-2x) = value of quarters\r<BR>\n" );
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document.write( "Equation is the total value of the coins in CENTS = 320:\r<BR>\n" );
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document.write( "5x + 10(x+4) + 25(21-2x) = 320<BR>\n" );
document.write( "5x + 10x + 40 + 525 - 50x = 320<BR>\n" );
document.write( "-35x + 565 = 320\r<BR>\n" );
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document.write( "Subtract 565 from each side:\r<BR>\n" );
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document.write( "-35x + 565 - 565 = 320-565<BR>\n" );
document.write( "-35x = -245\r<BR>\n" );
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document.write( "Divide both sides by -35 and hope it comes out even!!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-35x+=+-245 ALIGN=MIDDLE  ALT=\"-35x+=+-245\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-35x%29%2F-35+=+-245-35+ ALIGN=MIDDLE  ALT=\"%28-35x%29%2F-35+=+-245-35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+7 ALIGN=MIDDLE  ALT=\"x=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Nickels<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4+=+11 ALIGN=MIDDLE  ALT=\"x%2B4+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Dimes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21-2x+=+7+ ALIGN=MIDDLE  ALT=\"21-2x+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Quarters\r<BR>\n" );
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document.write( "Check the Values:<BR>\n" );
document.write( "x = 7 Nickels = $0.35<BR>\n" );
document.write( "x+4 = 11 Dimes= $1.10<BR>\n" );
document.write( "21-2x = 7 Quarters = 1.75<BR>\n" );
document.write( "TOTAL Value of coins = $3.20<BR>\n" );
document.write( "It checks!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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