document.write( "Question 1073340: The rate of female teachers to make teachers in a junior college is 13:5. If there are 48 more female teachers than male teachers, find the total number of teachers in a junior college.
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Algebra.Com's Answer #688176 by ikleyn(52832)\"\" \"About 
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document.write( "\"F%2FM\" = \"13%2F5\",      (1)\r\n" );
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document.write( "F - M = 48.   (2)\r\n" );
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document.write( "====> From (1), you have  F = \"M%2A%2813%2F5%29\".   \r\n" );
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document.write( "Substitute it into (2). You will get\r\n" );
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document.write( "\"M%2A%2813%2F5%29\" - M = 48.\r\n" );
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document.write( "Multiply it by 5 (both sides) to rid of the denominators. You will get\r\n" );
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document.write( "13M - 5M = 5*48,   or\r\n" );
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document.write( "8M = 5*48  ---->  M = \"%285%2A48%29%2F8\" = 5*6 = 30.\r\n" );
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document.write( "Answer.  30 male and 30 + 48 = 78 female.\r\n" );
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