document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312036>Question 312036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Araceli goes to the bank to get $10 worth of change. She requests twice as many<BR>\n" );
document.write( "quarters as half-dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. What is the total number of dimes and nickels?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223115 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Araceli goes to the bank to get $10 worth of change. She requests twice as many<BR>\n" );
document.write( "quarters as half-dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. What is the total number of dimes and nickels?<BR>\n" );
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document.write( "Let x = number of half-dollars<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2x = number of quarters<BR>\n" );
document.write( "2(2x) = 4x = number of dimes<BR>\n" );
document.write( "3(2(2x)) = 12x = number of nickels<BR>\n" );
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document.write( ".50x + .25(2x) +.10(4x) + .05(12x) = 10<BR>\n" );
document.write( ".5x + .5x + .4x + .6x = 10<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5 (number of half-dollars)<BR>\n" );
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document.write( "dimes:<BR>\n" );
document.write( "4x = 4(5) = 20 dimes<BR>\n" );
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document.write( "nickels:<BR>\n" );
document.write( "12x = 12(5) = 60 nickels<BR>\n" );
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document.write( "total number of dimes and nickels = 20+60 = 80 </SPAN>\n" );
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