Out of the 32 students in Mr. Martin's class, 18 are boys. If this ratio is proportional to the ratio of students in the school and the number of boys in the school, which of the following proportions would best be used to find the number of students in the school? It is given that there are 468 boys in the school.

Question

A.
18/32 S/468

B.
32/18 = S/468

C.
468/32 = s/18

D.
32/s = 18/468

Answer 1

We know from the problem statement that the ratio of boys to the total number of students in Mr. Martin's class is 18 boys out of 32 students. We want to express this same ratio for the entire school where there are 468 boys and we need to find the total number of students in the school, denoted as \( S \).

The appropriate proportion should compare the ratio of boys to the total number of students in the class with the ratio of boys to the total number of students in the school.

That translates to:

\[ \frac{18}{32} = \frac{468}{S} \]

From this, we can rearrange to find \( S \).

Thus, the correct choice is:

A. \( \frac{18}{32} = \frac{S}{468} \)

This proportion correctly represents the relationship between the boys and students for both Mr. Martin's class and the school.