document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930240>Question 930240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the problem using a system of two equations in two unknowns. a chief engineer built a tank of transparent aluminum to hold a pair of cetaceans. if the 25-ft-high tank had a volume of 37,500 ft^3 and it took 7000ft^2 of transparent aluminum to cover all six sides, then what were the length and width of the tank </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565068 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=565068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the problem using a system of two equations in two unknowns.<BR>\n" );
document.write( " a chief engineer built a tank of transparent aluminum to hold a pair of cetaceans.<BR>\n" );
document.write( " if the 25-ft-high tank had a volume of 37,500 ft^3 and it took 7000ft^2 of transparent aluminum to cover all six sides, then what were the length and width of the tank<BR>\n" );
document.write( "><BR>\n" );
document.write( "Find LW using the volume<BR>\n" );
document.write( "LW * 25 = 37500<BR>\n" );
document.write( "LW = 37500/25<BR>\n" );
document.write( "LW = 1500 sq/ft, the area of the base and the top<BR>\n" );
document.write( "Also<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2FW ALIGN=MIDDLE  ALT=\"1500%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Surface area: <BR>\n" );
document.write( "2(LW) + 2(LH) + 2(WH) = 7000<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "LW + LH + WH = 3500<BR>\n" );
document.write( "Replace H with 25, Replace LW with 1500<BR>\n" );
document.write( "LW + 25L + 25W = 3500<BR>\n" );
document.write( "1500 + 25L + 25W = 3500<BR>\n" );
document.write( "25L + 25W = 3500 - 1500<BR>\n" );
document.write( "25L + 25W = 2000<BR>\n" );
document.write( "simplify divide by 25<BR>\n" );
document.write( "L + W = 80<BR>\n" );
document.write( "replace L with 1500/W<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2FW ALIGN=MIDDLE  ALT=\"1500%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > + W = 80<BR>\n" );
document.write( "multiply by W<BR>\n" );
document.write( "1500 + W^2 = 80W<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "W^2 - 80W + 1500 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(W-30)(W-50) = 0<BR>\n" );
document.write( "Two solutions, the length and width of the tank<BR>\n" );
document.write( "W = 30, then L = 50<BR>\n" );
document.write( "And<BR>\n" );
document.write( "W = 50, then L = 30<BR>\n" );
document.write( ":<BR>\n" );
document.write( "; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );