Question

If there is a ratio of 1:12 for teachers to students, and there are 260 students, how many teachers are there?

A. 10
B. 12
C. 20
D. 24

Answer 1

To find the number of teachers for 260 students with a 1:12 teacher-to-student ratio, a proportion is set up (1/12 = T/260). The correct answer is option C.

Step-by-step explanation:

After calculating, we get 21.67, which we round down to 21, but since 21 is not an option and the choices must accommodate all students, we conclude that 22 teachers would be needed.

The question pertains to finding out the number of teachers based on the ratio of teachers to students. With a ratio of 1:12 and 260 students, we can set up a proportion to solve for the number of teachers.

1. First, let's denote the number of teachers as T.
2. We know that for every 1 teacher, there are 12 students. This gives us the ratio 1/12.
3. Set up a proportion where 1 teacher is to 12 students as T teachers are to 260 students, which looks like 1/12 = T/260.
4. To find T, we cross-multiply and get 12T = 260.
5. Divide both sides by 12 to solve for T: T = 260/12.
6. Calculating the division gives us T = 21.67, but since we cannot have a fraction of a teacher, we round down to the nearest whole number, which is 21 teachers.

However, since 21 is not one of the answer choices and the closest choice that would accommodate 260 students at a 1:12 ratio is 22 teachers (22 x 12 = 264), we would need to consider that the next whole number of teachers would actually be required.