document.write( "Question 1190615: An average weight of 3 containers A, B, C is 3.2kg. Container A is twice as heavy as Container B. Container B is 400g heavier that Container C. Find the weight of Container C. \n" ); document.write( "

Algebra.Com's Answer #822319 by ikleyn(52835) $\"\"$ $\"About$

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\n" ); document.write( "An average weight of 3 containers A, B, C is 3.2 kg.
\n" ); document.write( "Container A is twice as heavy as Container B.
\n" ); document.write( "Container B is 400g heavier that Container C.
\n" ); document.write( "Find the weight of Container C.
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document.write( "Let x = weight/(mass) of container C, in grams.\r\n" );
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document.write( "Then  container B weights (x+400) grams, while container A weights 2*(x+400) grams.\r\n" );
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document.write( "At this point, we write the total weight equation\r\n" );
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document.write( "        A    +   B     + C  = 3*3200       grams.    \r\n" );
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document.write( "    2(x+400) + (x+400) + x  = 9600 \r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    2x + 800 + x + 400 + x  = 9600\r\n" );
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document.write( "            4x              = 9600 - 800 - 400\r\n" );
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document.write( "            4x              =       8400\r\n" );
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document.write( "             x              =       8400/4 = 2100.\r\n" );
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document.write( "ANSWER.  Container C weights (has a mass of) 2100 grams.\r\n" );
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