Question

A class consists of $32$ boys and $18$ girls then the ratio of number of boys to the total number of students in the class is:
A. $16:25$
B. $25:16$
C. $9:25$
D. $25:9$

Answer 1

Hint: Here we are given the number of boys and also the number of girls that are there in the class. So we can find the total number of students in the class easily by adding all the boys and girls. Then we can simply write the ratio of the number of boys to total students and then simplify it as much as we can.

Complete Step by Step Solution:
Here we are given that the class consists of $32$ boys and $18$ girls and we need to calculate the ratio of the number of boys to the total number of students in the class.
We know that class consists of the boys and girls and therefore we can add both to get the total number of students in the class. We are given that:
Number of boys$ = 32$
Number of girls$ = 18$
Total students$ = {\text{number of boys}} + {\text{girls}}$$ = 32 + 18 = 50$
Hence we have got that there are a total $50$ students in the class.
Now we can easily say that the ratio of the number of boys to the total students in the class is:
${\text{number of boys}}:{\text{ number of total students}}$
$ = 32:50$
Now we know that both $32{\text{ and 50}}$ have the common factor as $2$
So we can cancel each term with the factor $2$ and we can get the ratio in the simplest form. So we will get:
$32:50 = 16:25$

Hence we get the ratio as $16:25$

Note:
Here if we are told to find the ratio of the number of girls to that of total students then we will simply get the result as $18:50 = 9:25$.
So we need to convert it into the simplest form.