The ratio of female teachers to male teachers in a junior school is 13:5. if there are 48 more teachers than the male teachers, find the total numbers of teachers in junior school?

f/m = 13/5

I assume you meant

if there are 48 more female teachers than the male teachers (otherwise, that would mean there were 48 females, and 13 does not divide 48)

f = m+48
13/5 m = m+48
8/5 m = 48
m = 30

So, there are 30+78 teachers in all.

F/M = 13/5

so F = 13 M/5

M + F - 48 = M
F = 48

then M = (5/13)F = 18.5
total is 66.5
typo?

To find the total number of teachers in the junior school, we need to determine the number of female teachers and male teachers separately.

Let's assume that the ratio of female teachers to male teachers can be represented as 13x:5x, where x is a common factor.

According to the problem, there are 48 more teachers than the male teachers. This means that:

13x - 5x = 48

Simplifying the equation, we have:

8x = 48

To solve for x, we divide both sides of the equation by 8:

x = 48/8 = 6

Now, let's find the number of male teachers:

5x = 5 * 6 = 30

Therefore, there are 30 male teachers in the junior school.

To find the total number of teachers, we add the number of female teachers to the number of male teachers:

13x + 5x = 13 * 6 + 5 * 6 = 78 + 30 = 108

Therefore, the total number of teachers in the junior school is 108.