Question

At a college, the ratio of teachers to students is 1 to 11. The ratio of female students to the total number of students is 4 to 9. If there are 264 female students, then how many teachers are there

Answer 1

We know that the ratio of female students to the total number of students is 4 to 9.

That means that for every 4 female students, there are 9 students in total.

So, we can set up the proportion:

4/9 = x/264

where x is the total number of students.

Solving for x, we get:

x = (4/9)*264 = 96

Since the ratio of teachers to students is 1 to 11, then for every 11 students there is 1 teacher, we can set up the proportion:

1/11 = y/96

where y is the total number of teachers.

Solving for y, we get:

y = (1/11)*96 = 8.72 ≈ 8

So, there are 8 teachers in the college.

Explanation: