document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156688>Question 1156688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When pumps, A, B, and C are running together, they can all pump 3700 gallons per hour. When only A and B are running, 2200 gallons per hour can be pumped. When only A and C are running, 2400 gallons per hour can be pumped. What is the pumping capacity of each pump? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779426 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A + B + C = 3700<BR>\n" );
document.write( "A + B  = 2200<BR>\n" );
document.write( "A + C = 2400<BR>\n" );
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document.write( "Let A + B = 2200 be B = 2200 - A<BR>\n" );
document.write( "Let A + C = 2400 be C = 2400 - A<BR>\n" );
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document.write( "Substitute B = 2200 - A and C = 2400 - A into A + B + C = 3700:<BR>\n" );
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document.write( "A + (2200 - A) + (2400 - A) = 3700 <BR>\n" );
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document.write( "Simplify and solve:<BR>\n" );
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document.write( "A + (2200 - A) + (2400 - A) = 3700<BR>\n" );
document.write( "A + 2200 - A + 2400 - A = 3700<BR>\n" );
document.write( "-A + 4600 = 3700<BR>\n" );
document.write( "-A = -900<BR>\n" );
document.write( "A = 900<BR>\n" );
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document.write( "Substitute A = 900 into A + B  = 2200:<BR>\n" );
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document.write( "900 + B = 2200<BR>\n" );
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document.write( "Solve for B:<BR>\n" );
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document.write( "B = 1300<BR>\n" );
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document.write( "Substitute A = 900 into A + C = 2400:<BR>\n" );
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document.write( "900 + C = 2400<BR>\n" );
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document.write( "Solve for C:<BR>\n" );
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document.write( "C = 1500<BR>\n" );
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document.write( "<b>The pumping capacities of each pump are:<BR>\n" );
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document.write( "A = 900 gallons per hour<BR>\n" );
document.write( "B = 1300 gallons per hour<BR>\n" );
document.write( "C = 1500 gallons per hour</b><BR>\n" );
document.write( " </SPAN>\n" );
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