SOLUTION: The ratio of the female teachers to male teachers in a school is 4 : 3. If there are 12 male teachers at the
school, how many teachers are there in total?
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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
school, how many teachers are there in total?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For every 4 female teachers, there are 3 male teachers. So we could have...
4 female teachers & 3 male teachers
8 female teachers & 6 male teachers
12 female teachers & 9 male teachers
16 female teachers & 12 male teachers
and so on...
I'm listing the multiples of each (4 and 3)
As you can see above, if there are 12 male teachers, then there are 16 female teachers leading to 12+16 = 28 teachers total.
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.
If x = 4, then
number of female teachers = 4*x = 4*4 = 16
number of male teachers = 3*x = 3*4 = 12
adding to 16+12 = 28
Whichever method you use, the final answer is 28 teachers.
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