Question

Out of $1800$ students in a school, $750$ opted basketball, $800$ opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of

(a) Number of students who opted basketball to the number of students who opted table tennis.

(b) Number of students who opted cricket to the number of students opting basketball.

(c) Number of students who opted basketball to the total number of students.

Answer 1

Step 1: Calculate the ratio of the number of students who opted basketball to the number of students who opted table tennis.

Know that here out of $1800$ students in a school, $750$ opted basketball, $800$ opted cricket and remaining opted table tennis and a student can opt only one game.

So, the number of students opted table tennis:

$\begin{array}{c}1800-(750+800)=1800-1550\\ =250\end{array}$

Therefore, the ratio of the number of students who opted basketball to the number of students who opted table tennis:

$\frac{750}{250}=\frac{3}{1}$

Step 2:Calculate the ratio of the number of students who opted cricket to the number of students opting basketball.

The ratio of the number of students who opted cricket to the number of students opting basketball:

$\frac{800}{750}=\frac{16}{15}$

Step 3:Calculate the ratio of the number of students who opted basketball to the total number of students.

The ratio of the number of students who opted basketball to the total number of students:

$\frac{750}{1800}=\frac{5}{12}$

Hence, the ratio of the number of students who opted basketball to the number of students who opted table tennis is $\frac{3}{1}$,the ratio of the number of students who opted cricket to the number of students opting basketball is $\frac{16}{15}$ and the ratio of the number of students who opted basketball to the total number of students is $\frac{5}{12}$.