document.write( "Question 1168771: Camellia took her geography test. She scored 100 on her exam which was found to raise the class average on the test from 74 to 76. ( before adding her school the average was 74 ) how many students including Camelia took the test? \n" ); document.write( "

Algebra.Com's Answer #793391 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Camellia took her geography test. She scored 100 on her exam which was found to raise the class average on the test
\n" ); document.write( "from 74 to 76. ( before adding her school the average was 74 ) how many students including Camelia took the test?
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document.write( "Let  n = \"how many students including Camelia took the test\".\r\n" );
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document.write( "Since the average score was 74 for (n-1) students (before Camelia took the test)\r\n" );
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document.write( "the total scores were  74*(n-1)  at that time.\r\n" );
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document.write( "Camelia contributed 100 scores to the total, so now the average is\r\n" );
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document.write( "    76 = .\r\n" );
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document.write( "From this equation\r\n" );
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document.write( "    76n = 74*(n-1) + 100,    or\r\n" );
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document.write( "    76n = 74n - 74 + 100,\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    76n - 74n = 26\r\n" );
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document.write( "       2n     = 26\r\n" );
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document.write( "        n     = 26/2 = 13.\r\n" );
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document.write( "ANSWER.  13 students, including Camelia.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average scores, weight, height and temperature\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average scores\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average age \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on average values \r
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