document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122772>Question 122772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Filling a swimming pool\r<BR>\n" );
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document.write( "Two hoses are used to fill a swiming pool. If the first runs for 3h and the second for 2h, the pool will contain 1190 L of water. But if the first one is used for 2h and the second one for 3h, the pool will contain 1260 L.<BR>\n" );
document.write( "a)represent this situation by a system of equations.<BR>\n" );
document.write( "b)what is the flow rate of each hose? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90134 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=90134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two hoses are used to fill a swiming pool. If the first runs for 3h and the second for 2h, the pool will contain 1190 L of water. But if the first one is used for 2h and the second one for 3h, the pool will contain 1260 L.<BR>\n" );
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document.write( "Let x = 1st hose flow rate liters/hr<BR>\n" );
document.write( "Let y = 2nd hose flow rate<BR>\n" );
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document.write( "a)represent this situation by a system of equations.<BR>\n" );
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document.write( "3x + 2y = 1190<BR>\n" );
document.write( "2x + 3y = 1260<BR>\n" );
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document.write( "b)what is the flow rate of each hose?<BR>\n" );
document.write( "We will use elimination here<BR>\n" );
document.write( "Multiply the 1st equation by 3, and the 2nd equation by 2;<BR>\n" );
document.write( "9x + 6y = 3570<BR>\n" );
document.write( "4x + 6y = 2520<BR>\n" );
document.write( "----------------- subtracting eliminates y; find x<BR>\n" );
document.write( "5x + 0y = 1050<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050%2F5 ALIGN=MIDDLE  ALT=\"1050%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 210 liter/hr flow rate<BR>\n" );
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document.write( "Find y:<BR>\n" );
document.write( "3x + 2y = 1190<BR>\n" );
document.write( "3(210) + 2y = 1190<BR>\n" );
document.write( "630 + 3y = 1190<BR>\n" );
document.write( "2y = 1190 - 630<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=560%2F2 ALIGN=MIDDLE  ALT=\"560%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 280 liter/hr flow rate<BR>\n" );
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document.write( "Check solution in 2nd equation<BR>\n" );
document.write( "2(210) + 3(280) =<BR>\n" );
document.write( "420 + 840 = 1260<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( " </SPAN>\n" );
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