document.write( "Question 1155274: A soap manufacturer decides to spend 600000 rupees on radio, magazine and TV advertising. If he spends as
\n" ); document.write( "much on TV advertising as on magazines and radio together, and the amount spent on magazines and TV
\n" ); document.write( "combined equals five times that spent on radio. What is the amount to be spent on each type of advertising?
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Algebra.Com's Answer #777850 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Let T = spending on TV;  R = spending on radio and M = spending on magazines.\r\n" );
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document.write( "From the condition, we have\r\n" );
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document.write( "    T + (R + M) = 600000\r\n" );
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document.write( "    T - (R + M) = 0.\r\n" );
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document.write( "It immediately implies that  \r\n" );
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document.write( "    T = R + M = 600000/2 = 300000.     (1)\r\n" );
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document.write( "In addition, from the condition, we are given that \r\n" );
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document.write( "    T + M = 5R,    or\r\n" );
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document.write( "    300000 + M = 5R,    or\r\n" );
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document.write( "    5R - M = 300000.     (2)\r\n" );
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document.write( "So, from (1) and (2) we have\r\n" );
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document.write( "    R  + M = 300000,      (3)\r\n" );
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document.write( "    5R - M = 300000.      (4)\r\n" );
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document.write( "Add equations (3) and (4).  You will get\r\n" );
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document.write( "    6R     = 600000,\r\n" );
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document.write( "     R     = 600000/6 = 100000.\r\n" );
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document.write( "ANSWER.  R = 100000  (radio);  T = 300000 (TV)  and  M = 200000 (magazines).\r\n" );
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