document.write( "Question 1081541: A steel company has three blast furnaces of varying sizes. If furnaces A,B, and C are used full time, 800 metric tons of steel produced per day. If A and B are used half time while C at full time, 545 metric tons are produced. If A is not used, B as full time, and C as half-time, 410 metric tons are produced. How many metric tons per day does each furnace produce? \n" ); document.write( "

Algebra.Com's Answer #695588 by ikleyn(52858) $\"\"$ $\"About$

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document.write( "Let a = \"How many metric tons per day furnace A produces\",\r\n" );
document.write( "    b = same for B,\r\n" );
document.write( "    c = same for C.\r\n" );
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document.write( "Then you have these equations:\r\n" );
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document.write( "a   + b   + c   = 800,     (1)\r\n" );
document.write( "a/2 + b/2 + c   = 545,     (2)\r\n" );
document.write( "      b   + c/2 = 410.     (3)\r\n" );
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document.write( "Now multiply eq(2) by 2 (both sides), and then subtract eq(1) from it. You will get\r\n" );
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document.write( "a + b +  c  = 800          (1)\r\n" );
document.write( "a + b + 2c = 1090          (4)\r\n" );
document.write( "--------------------subtract      eq(1) from eq(4)\r\n" );
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document.write( "         c = 1090 - 800 = 290.\r\n" );
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document.write( "Having this, find b from (3).\r\n" );
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document.write( "Having b and c, find a from (1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "For similar problems, see the lesson\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this textbook under the topic \"Rate of work and joint work problems\" of the section \"Word problems\".\r
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