document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=674803>Question 674803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dan has nickels, dimes and quarters.  He has a total of 33.60.  He has four times as many quarters as dimes and one-half as many dimes as nickels.  How many of each coin does he have?  \r<BR>\n" );
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document.write( "I put x nickels, y dimes, and z quarters.  5x + 10y + 25z = 3360.  Next, I put z = y + 4 to represent \"four times as many quarters as dimes.\" Next, I put either x = 1/2y or x = 0.5y to represent \"one-half as many dimes as nickels.  \r<BR>\n" );
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document.write( "Next, I saw how 1/2y or 0.5y is really 1/2 times 10 or 0.5 times ten which equals five (5).  \r<BR>\n" );
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document.write( "Then I substituted for 5x + 10y + 25z = 3360 by plugging in the numbers as follows: 5(5) + 10y + 25(y+4) = 3360.  When I solved it, it wasn't correct.  \r<BR>\n" );
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document.write( "I'm supposed to get 112 quarters, 28 dimes, and 56 nickels. \r<BR>\n" );
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document.write( "Am I missing a step where I should write x + y + z? - And then substitute one at at time?  This is different in that I may not be writing something correctly because this problem contains no amount but only the value as the total and that it contains 1/2 which I may be figuring wrong.  Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419446 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=419446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Dan has nickels, dimes and quarters.<BR>\n" );
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document.write( "Write an equation for each statement, get n and q in terms of d:<BR>\n" );
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document.write( " He has a total of 33.60.<BR>\n" );
document.write( ".05n + .10d + .25q = 33.60<BR>\n" );
document.write( "5n + 10d + 25q = 3360, get rid of the decimals<BR>\n" );
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document.write( " He has four times as many quarters as dimes<BR>\n" );
document.write( "q = 4d<BR>\n" );
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document.write( "and one-half as many dimes as nickels.<BR>\n" );
document.write( "n = 2d<BR>\n" );
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document.write( "Replace n with 2d, replace q with 4d<BR>\n" );
document.write( "5(2d) + 10d + 25(4d) = 3360<BR>\n" );
document.write( "10d + 10d + 100d = 3360<BR>\n" );
document.write( "120d = 3360<BR>\n" );
document.write( "d = 3360/120<BR>\n" );
document.write( "d = 28 dimes<BR>\n" );
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document.write( "See if you can find n and q, and check it in the 1st equation\r<BR>\n" );
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