document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177878>Question 177878</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400507/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of $17.75.  There are three times as many quarters as dimes.  Find the number of each kind of coin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132861 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the amount of dimes be d, then the amount of quarters are 3d<BR>\n" );
document.write( "Let the amount of half-dollars be h<BR>\n" );
document.write( "Then d + 3d + h = 70, or 4d  +  h  =  70<BR>\n" );
document.write( "Then d(.10) + 3d(.25) + h(.5)  =  17.75, or .1d  + .75d  +  .5h  =  17.75, or .85d  +  .5h  =  17.75\r<BR>\n" );
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document.write( "					  4d   +     h   =   70 -----------(i)<BR>\n" );
document.write( "				    	.85d   +   .5h   =   17.75 -------(ii)<BR>\n" );
document.write( "Multiply eq. (i) by - .5	      -2.00d   -   .5h   =   -   35 -------(iii)<BR>\n" );
document.write( "Add eq (ii) & (iii)			     -1.15d      =   -   17.25     <BR>\n" );
document.write( "						   d     =      15\r<BR>\n" );
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document.write( "				     4(15)   +      h   =   70<BR>\n" );
document.write( "				          60   +   h    =   70<BR>\n" );
document.write( "		    	                          h     =     10<BR>\n" );
document.write( "Therefore, there are 15 dimes - $1.50<BR>\n" );
document.write( "       there are 45 quarters - $11.25<BR>\n" );
document.write( "    there are 10 half-dollars - $5.00<BR>\n" );
document.write( " </SPAN>\n" );
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