document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156234>Question 156234</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321127137/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem and would really appreciate your help. \r<BR>\n" );
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document.write( "Nana found some coins under her sofa pillows.  There were equal numbers of nickels and quarters, and twice as many half-dollars as quarters.  If she found $2.60 in all, how many of each denomination of coin did she find? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115094 by </B><A HREF=/tutors/aboutme.mpl?userid=kdr><B>kdr(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kdr><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=115094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x equal the number of nickels and the number of quarters.<BR>\n" );
document.write( "Let y equal the number of half-dollars.<BR>\n" );
document.write( "Since there are twice as many half-dollars as quarters:<BR>\n" );
document.write( "y=2x<BR>\n" );
document.write( "Value of nickels would be .05 times x, value of quarters would be .25 times x, and value of half-dollars would be .5 times y, giving us this equation:<BR>\n" );
document.write( ".05x + .25x + .5y = 2.60\r<BR>\n" );
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document.write( "Substitute 2x for y:<BR>\n" );
document.write( ".05x + .25x + .5(2x) = 2.60<BR>\n" );
document.write( "Simplifying .5 times 2 is 1, so:<BR>\n" );
document.write( ".05x + .25x + x = 2.60<BR>\n" );
document.write( "Combine like terms:<BR>\n" );
document.write( "1.3x = 2.60<BR>\n" );
document.write( "Multiple both sides by 10:<BR>\n" );
document.write( "13x = 26<BR>\n" );
document.write( "Divide both sides by 13:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "y = 4\r<BR>\n" );
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document.write( "So, there are 2 nickels, 2 quarters, and 4 half-dollars.\r<BR>\n" );
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document.write( "Checking the solution:<BR>\n" );
document.write( "2 nickels = .10<BR>\n" );
document.write( "2 quarters = .50<BR>\n" );
document.write( "4 half-dollars = 2.00<BR>\n" );
document.write( "Total value = 2.60 </SPAN>\n" );
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