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

To solve for the total number of students \( S \) in the school using the ratio of boys in Mr. Martin's class to boys in the school, we set up the proportion based on the ratio of boys.

In Mr. Martin's class, there are 18 boys out of 32 students, which gives us the ratio \( \frac{18}{32} \). In the school, there are 468 boys, and we want to find the total number of students \( S \).

The proportion can be set up as:

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

Rearranging this gives us:

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

Thus, the correct option from the given choices is:

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