document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69314>Question 69314</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> There were 26 nickels, dimes and quarters in all, and their value was $2.25. How many coins of each type were there if there were 10 times as many nickels as quarters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49346 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=49346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each sentence:<BR>\n" );
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document.write( "\"there were 26 nickels, dimes and quarters in all,\"  <BR>\n" );
document.write( "n + d + q = 26<BR>\n" );
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document.write( "\"their value was $2.25.\"<BR>\n" );
document.write( ".05n + .10n + .25q = 2.25<BR>\n" );
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document.write( "\"there were 10 times as many nickels as quarters?\"<BR>\n" );
document.write( "n = 10q<BR>\n" );
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document.write( "How many coins of each type were there? <BR>\n" );
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document.write( "Substitute 10q for n and simplify both equations:<BR>\n" );
document.write( "10q + d + q = 26<BR>\n" );
document.write( "d + 11q = 26<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".05(10q) + .10d + .25q = 2.25 <BR>\n" );
document.write( ".5q + .10d + .25q = 2.25<BR>\n" );
document.write( ".10d + .75q = 2.25<BR>\n" );
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document.write( "Multiply the above equation by 10 and subtract it from d + 11q = 26:<BR>\n" );
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document.write( "d + 11q = 26<BR>\n" );
document.write( "d + 7.5q = 22.50<BR>\n" );
document.write( "--------------------subtracting eliminates d<BR>\n" );
document.write( "0 + 3.5q = 3.5<BR>\n" );
document.write( "q = 3.5/3.5<BR>\n" );
document.write( "q = 1 quarter<BR>\n" );
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document.write( "Find d using d + 11q = 26<BR>\n" );
document.write( "d + 11(1) = 26<BR>\n" );
document.write( "d = 26 - 11<BR>\n" );
document.write( "d = 15 dimes<BR>\n" );
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document.write( "Remember n = 10q<BR>\n" );
document.write( "n = 10 nickels<BR>\n" );
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document.write( "Check our solution in the $ equation<BR>\n" );
document.write( ".05(10) + .10(15) + .25(1) <BR>\n" );
document.write( ".50 + 1.50 + .25 = 2.25 </SPAN>\n" );
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