A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollment of 2,650 students?
A)134 teachers
B)148 teachers
C)159 teachers
D)143 teachers
E)216 teachers

Question

Quizplus · Accepted Answer

To solve the problem, we first need to determine the ratio of teachers to students:

3 teachers / 50 students

We can simplify this ratio by dividing both numbers by 3:

1 teacher / 17 students

So for every 17 students, we need 1 teacher.

To find out how many teachers are needed for 2,650 students, we can set up a proportion:

1 teacher / 17 students = x teachers / 2,650 students

Cross-multiplying, we get:

17x = 2,650

Solving for x, we get:

x = 2,650 / 17 ≈ 155.88

Rounding up to the nearest whole number, we get:

x = 159 teachers.

Therefore, the answer is choice C, 159 teachers.

A School Board Has Determined That There Should Be 3