document.write( "Question 1156688: 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? \n" ); document.write( "

Algebra.Com's Answer #779425 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "From the condition, you have these 3 equations\r\n" );
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document.write( "    A + B + C = 3700    (1)\r\n" );
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document.write( "    A + B     = 2200    (2)\r\n" );
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document.write( "    A     + C = 2400    (3)\r\n" );
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document.write( "To find C, from equation (1) subtract equation (2) :  C = 3700-2200 = 1500 gallons per hour.\r\n" );
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document.write( "To find B, from equation (1) subtract equation (3) :  B = 3700-2400 = 1300 gallons per hour.\r\n" );
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document.write( "To find A, substitute the value of B= 1300 into equation (2)\r\n" );
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document.write( "    A + 1300 = 2200,  which gives you  A = 2200 - 1300 = 900 gallons per hour.\r\n" );
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