document.write( "Question 1112673: A worker is employed to work for 30 days at the rate of Rs 120 per day. If he is absent on a particular day he loses Rs 30. The worker earns total of Rs 2700 for that period. For how many days was the worker absent? \n" ); document.write( "
Algebra.Com's Answer #837153 by ikleyn(52787)\"\" \"About 
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\n" ); document.write( "A worker is employed to work for 30 days at the rate of Rs 120 per day.
\n" ); document.write( "If he is absent on a particular day he loses Rs 30.
\n" ); document.write( "The worker earns total of Rs 2700 for that period. For how many days was the worker absent?
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\n" ); document.write( "\n" ); document.write( "            The solution by @mananth is incorrect and illogical.\r
\n" ); document.write( "\n" ); document.write( "            I came to bring a correct solution.\r
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document.write( "Let x be the number of days, when worker really worked,\r\n" );
document.write( "and let y be the number of days, when he was absent.\r\n" );
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document.write( "Write a system of two equations as you read the problem.\r\n" );
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document.write( "       x +   y =   30      (1)\r\n" );
document.write( "    120x - 30y = 2700      (2)\r\n" );
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document.write( "From equation (1), express x = 30-y  and  substitute it into equation (2), replacing x there.\r\n" );
document.write( "You will get\r\n" );
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document.write( "    120*(30-y) - 30y = 2700.\r\n" );
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document.write( "Simplify and find y\r\n" );
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document.write( "    3600 - 120y - 30y = 2700\r\n" );
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document.write( "    3600 - 2700 = 120y + 30y\r\n" );
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document.write( "        900     =     150y\r\n" );
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document.write( "          y     =     900/150 = 6.\r\n" );
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document.write( "ANSWER.  The worker was absent 6 days.\r\n" );
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document.write( "CHECK.  Check the total money he got  120*(30-6) - 30*6 = 2700.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (correctly).\r
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\n" ); document.write( "\n" ); document.write( "Ignore the post by @manabth.\r
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\n" ); document.write( "\n" ); document.write( "        This problem is of that kind where a student learns the basics - - - \r
\n" ); document.write( "\n" ); document.write( "                - - - therefore,  it should be taught flawlessly.\r
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