Question

Out of $1,800$ students in a school, $750$ opted football, $800$ opted cricket and remaining opted hockey. If a student can opt only one game, find the ratio of:
(i) the number of students opting football to the number of students opting cricket
(ii) the number students opting football to the number of students opting hockey
(iii) the number of students oping cricket to the total number of students.

Answer 1

Total number of students $=1800$

Student who opted football $=750$

Student who opted cricket $=800$

Students who opted hockey $=1800-(750+800)$

$=1800-1550$

$=250$

(i) Ratio of number of student opting football to the number of students opting cricket

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

Therefore Ratio is 15:16.

(ii) Ratio of the number of student opting football to the number of student opting hockey

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

Therefore Ratio is 3:1

(iii)Ratio of the number of students opting cricket to the total number of students

$Ratio=\frac{800}{1800}=\frac{4}{9}$

Therefore Ratio is 4:9