document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141820>Question 1141820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When solving systems of we have at least two unknowns. A common example of a system of equations is a mixture problem. If I know that the solution I use to clean my car windows is 65% water and 35% cleaner, I have one relationship. If I also know that I only have a 3-liter spray bottle that gives me a second relationship.<BR>\n" );
document.write( "1. What do the unknowns in this system represent and what are the two equations that that need to be solved?<BR>\n" );
document.write( "2. Finally, solve the system of equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762462 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w = number of liters of water.<BR>\n" );
document.write( "c = number of liters of cleaner.\r<BR>\n" );
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document.write( "first equation is w + c = t\r<BR>\n" );
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document.write( "this tells you that the number of liters of water plus the number of liters of cleaner equals a total of t liters.\r<BR>\n" );
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document.write( "you are then given that t = 3.\r<BR>\n" );
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document.write( "these are 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "replace t in the first equation with t = 3 from the second equation and you get:\r<BR>\n" );
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document.write( "w + c = 3\r<BR>\n" );
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document.write( "you are then given that w = .65 * t and c = .35 * t\r<BR>\n" );
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document.write( "replace t with 3 and the equations becomes w = .65 * 3 and c = .35 * 3.\r<BR>\n" );
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document.write( "solve for w and c to get w = 1.95 and c = 1.05.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "the amount of water in the 3 liter spray bottle is 1.95 liters.<BR>\n" );
document.write( "the amount of cleaner in the 3 liter spray bottle is 1.05 liters.\r<BR>\n" );
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