document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953110>Question 953110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It looks like someone has already solved a similar problem with Matrices.  I wanted to solve this without that.  Here is the question<BR>\n" );
document.write( "A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week, the organization purchased 25 blankets, 10 cots, and 15 lanterns for a total cost of $1750. The next week, at the same prices, the organization purchased 25 blankets, 20 cots, and 25 lanterns for a total cost of $2950. The third week, at the same prices, the organization purchased 25 blankets, 30 cots, and 5 lanterns for a total cost of $3100. Find the cost of one blanket, the cost of one cot, and the cost of one lantern. I keep getting 4.8, for the blanket so I must be doing something wrong.\r<BR>\n" );
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document.write( "So far I have this..\r<BR>\n" );
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document.write( "25b+10c+15L=1750<BR>\n" );
document.write( "25b+20c+25L=2950<BR>\n" );
document.write( "25b=30c+5L=3100<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582119 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=582119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week, the organization purchased 25 blankets, 10 cots, and 15 lanterns for a total cost of $1750. The next week, at the same prices, the organization purchased 25 blankets, 20 cots, and 25 lanterns for a total cost of $2950. The third week, at the same prices, the organization purchased 25 blankets, 30 cots, and 5 lanterns for a total cost of $3100. Find the cost of one blanket, the cost of one cot, and the cost of one lantern. I keep getting 4.8, for the blanket so I must be doing something wrong.<BR>\n" );
document.write( "So far I have this..<BR>\n" );
document.write( "25b + 10c + 15L = 1750<BR>\n" );
document.write( "25b + 20c + 25L = 2950<BR>\n" );
document.write( "25b + 30c + 5L =  3100<BR>\n" );
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document.write( "We can do this using elimination<BR>\n" );
document.write( "subtract the 1st equation from the 2nd equation<BR>\n" );
document.write( "25b + 20c + 25L = 2950<BR>\n" );
document.write( "25b + 10c + 15L = 1750<BR>\n" );
document.write( "-----------------------subtraction eliminates b<BR>\n" );
document.write( "0 + 10c + 10L = 1200<BR>\n" );
document.write( "simplify divide by 10<BR>\n" );
document.write( "c + L = 120<BR>\n" );
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document.write( "Subtract the 2nd equation from the 3rd equation<BR>\n" );
document.write( "25b + 30c + 5L =  3100<BR>\n" );
document.write( "25b + 20c + 25L = 2950<BR>\n" );
document.write( "----------------------- eliminates b<BR>\n" );
document.write( "0 + 10c - 20L = 150<BR>\n" );
document.write( "simplify, divide by 10<BR>\n" );
document.write( "c - 2L = 15<BR>\n" );
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document.write( "Subtract the above equation from the 1st 2 unkown equation<BR>\n" );
document.write( "c + L = 120<BR>\n" );
document.write( "c -2L = 15<BR>\n" );
document.write( "--------------Subtraction elimnates c, find L<BR>\n" );
document.write( "0 + 3L = 105<BR>\n" );
document.write( "L = 105/3<BR>\n" );
document.write( "L = $35 for the lantern<BR>\n" );
document.write( "then using c + L = 120<BR>\n" );
document.write( "c + 35 = 120<BR>\n" );
document.write( "c = $85 for a cot<BR>\n" );
document.write( "and using 25b + 20c + 25L = 2950<BR>\n" );
document.write( "25b + 20(85) + 25(35) = 2950<BR>\n" );
document.write( "25b + 1700 + 875 = 2950<BR>\n" );
document.write( "25b + 2575<BR>\n" );
document.write( "25b = 2950 - 2575<BR>\n" );
document.write( "25b = <BR>\n" );
document.write( "b = 375/25<BR>\n" );
document.write( "b = $15 for a blanket,\r<BR>\n" );
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document.write( "You confirm this by putting these values in the other two equations\r<BR>\n" );
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