document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263282>Question 263282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35. If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75. How many quarters are in the original collection? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194134 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=194134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the original number of coins be n, d, q<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"A collection of 20 coins\"<BR>\n" );
document.write( "n + d + q = 20<BR>\n" );
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document.write( "\"made up of only nickels, dimes and quarters has a total value of $3.35.\"<BR>\n" );
document.write( ".05n + .10d + .25q = 3.35<BR>\n" );
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document.write( "\"If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.\"<BR>\n" );
document.write( ".25n + .05d + .10q = 2.75<BR>\n" );
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document.write( "Multiply the above equation by 4, subtract from the 1st equation<BR>\n" );
document.write( "1n + 1d + 1q = 20<BR>\n" );
document.write( "1n +.2d +.4q = 11<BR>\n" );
document.write( "---------------------subtraction eliminates n<BR>\n" );
document.write( "   .8d + .6q = 9<BR>\n" );
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document.write( "Multiply the 2nd equation by 20, subtract the 1st equation<BR>\n" );
document.write( "1n + 2d + 5q = 67<BR>\n" );
document.write( "1n + 1d + 1q = 20<BR>\n" );
document.write( "-----------------------subtraction eliminates n again<BR>\n" );
document.write( " d + 4q = 47<BR>\n" );
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document.write( "Use elimination again on the these two, 2 unknown equations<BR>\n" );
document.write( "Multiply the above equation by 4, multiply the 1st by 5, subtract it<BR>\n" );
document.write( "4d + 16q + 188,<BR>\n" );
document.write( "4d + 3q = 45<BR>\n" );
document.write( "----------------------subtraction eliminates d, find q<BR>\n" );
document.write( "  13q = 143<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=143%2F13 ALIGN=MIDDLE  ALT=\"143%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = 11  <BR>\n" );
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document.write( " How many quarters are in the original collection?<BR>\n" );
document.write( "11 quarters originally </SPAN>\n" );
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