document.write( "Question 1112170: The ratio of the female teachers to male teachers in a school is 4 : 3. If there are 12 male teachers at the
\n" ); document.write( "school, how many teachers are there in total? \n" ); document.write( "
Algebra.Com's Answer #727170 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "For every 4 female teachers, there are 3 male teachers. So we could have...\r
\n" ); document.write( "\n" ); document.write( "4 female teachers & 3 male teachers
\n" ); document.write( "8 female teachers & 6 male teachers
\n" ); document.write( "12 female teachers & 9 male teachers
\n" ); document.write( "16 female teachers & 12 male teachers
\n" ); document.write( "and so on...\r
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\n" ); document.write( "\n" ); document.write( "I'm listing the multiples of each (4 and 3)\r
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\n" ); document.write( "\n" ); document.write( "As you can see above, if there are 12 male teachers, then there are 16 female teachers leading to 12+16 = 28 teachers total. \r
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\n" ); document.write( "\n" ); document.write( "To do this in an algebraic way, we have 4x female teachers and 3x male teachers for some whole number x. We know that 3x = 12 since there are 12 males given. That solves to x = 4 when you divide both sides by 3.\r
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\n" ); document.write( "\n" ); document.write( "If x = 4, then
\n" ); document.write( "number of female teachers = 4*x = 4*4 = 16
\n" ); document.write( "number of male teachers = 3*x = 3*4 = 12
\n" ); document.write( "adding to 16+12 = 28\r
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\n" ); document.write( "\n" ); document.write( "Whichever method you use, the final answer is 28 teachers.\r
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