document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205076>Question 205076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> pls answer with complete solution! very important! \r<BR>\n" );
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document.write( "1. A water tank has two valves, A and B. When only valve A is open, the tank is emptied in 6 hours. Furthermore, it takes twelve hours to empty the tank if only valve B is open. How long will it takes to empty the tank if both valves are open?\r<BR>\n" );
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document.write( "2. The sysfies organized a benefit show for their JS prom. They sold $25,$50, and $100 tickets. The $25-ticket sales was twice as many as the $100-ticket while the $50-ticket was 50 more than the $100 tickets. How many of each kind of ticket were sold if the total sales was $22,500?\r<BR>\n" );
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document.write( "3. An 8-liter solution is 25% alcohol. How much water must be added to reduce the concentration of alcohol in the solution to 20%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154819 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=154819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A water tank has two valves, A and B. When only valve A is open, the tank is<BR>\n" );
document.write( " emptied in 6 hours. Furthermore, it takes twelve hours to empty the tank if <BR>\n" );
document.write( "only valve B is open. How long will it takes to empty the tank if both valves are open?<BR>\n" );
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document.write( "let t = time required when both valves are open<BR>\n" );
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document.write( "let the completed job (empty tank) = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by 12 to get rid of the denominators, results<BR>\n" );
document.write( "2t + t = 12<BR>\n" );
document.write( "3t = 12<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F3 ALIGN=MIDDLE  ALT=\"12%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 4 hrs working together<BR>\n" );
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document.write( "you can check solution by substituting 4 for t in the original equation<BR>\n" );
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document.write( "2. The sysfies organized a benefit show for their JS prom. They sold $25,$50,<BR>\n" );
document.write( " and $100 tickets. The $25-ticket sales was twice as many as the $100-ticket<BR>\n" );
document.write( " while the $50-ticket was 50 more than the $100 tickets.<BR>\n" );
document.write( " How many of each kind of ticket were sold if the total sales was $22,500?<BR>\n" );
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document.write( "let x, y, z = 25, 50, $100 tickets respectively<BR>\n" );
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document.write( "Total sales equation:<BR>\n" );
document.write( "25x + 50y + 100z = 22,500<BR>\n" );
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document.write( "\"the $25-ticket sales was twice as many as the $100-ticket\"<BR>\n" );
document.write( "x = 2z<BR>\n" );
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document.write( "\"the $50-ticket was 50 more than the $100 tickets\"<BR>\n" );
document.write( "y = z + 50\r<BR>\n" );
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document.write( "Substitute 2z for x, and (z+50) for y, in the total sales equation, find z<BR>\n" );
document.write( "25(2z) + 50(z+50) + 100z = 22500<BR>\n" );
document.write( "50z + 50z + 2500 + 100z = 22500<BR>\n" );
document.write( "200z = 22500 - 2500<BR>\n" );
document.write( "200z = 20000<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000%2F200 ALIGN=MIDDLE  ALT=\"20000%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 100 ea $100 ticket sold<BR>\n" );
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document.write( "You can find x & y using the equations we have for x and y<BR>\n" );
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document.write( "3. An 8-liter solution is 25% alcohol. <BR>\n" );
document.write( "How much water must be added to reduce the concentration of alcohol in the solution to 20%?<BR>\n" );
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document.write( "Let x = amt or water required<BR>\n" );
document.write( ".25(8) = .20(x+8)<BR>\n" );
document.write( "2 = .2x + 1.6<BR>\n" );
document.write( "2 - 1.6 = .2x<BR>\n" );
document.write( ".4 = .2x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4%2F.2 ALIGN=MIDDLE  ALT=\".4%2F.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2 liters of water required<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( ".25(8) = .2(2 + 8) </SPAN>\n" );
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