document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34165>Question 34165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem that I can't figure out. \r<BR>\n" );
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document.write( "Joe has a collection of nickels and dimes that is worth $7.40. If the number of dimes were doubled and the number of nickels were increased by 20, the value of the coins would be $13.20. How many dimes does he have?\r<BR>\n" );
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document.write( "I have been trying to work this but can't seem to get it set up right.<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20457 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of nickels be x<BR>\n" );
document.write( "Let the number of dimes be y<BR>\n" );
document.write( "Equation (1):<BR>\n" );
document.write( "10y+5x=740<BR>\n" );
document.write( "x=148-2y (subsitution)<BR>\n" );
document.write( "2(10y)+5(x+20)=1320<BR>\n" );
document.write( "20y+5x+100=1320<BR>\n" );
document.write( "20y+5(148-2y)+100=1320<BR>\n" );
document.write( "20y+740-10y+100=1320<BR>\n" );
document.write( "10y=480<BR>\n" );
document.write( "y=48<BR>\n" );
document.write( "x=148-2(48)<BR>\n" );
document.write( "y=52<BR>\n" );
document.write( "Hence, there are 48 nickels and 52 dimes.<BR>\n" );
document.write( "Paul. </SPAN>\n" );
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