Question

Out of 1800 in a school, 750 opted basket ball, 800 opted cricket and remaining opted lawn tennis. If a student can opt only one game, find the ratio of:

the number of students opting basket ball, cricket and lawn tennis respectively in lowest terms.

Answer 1

Total number of students in the school$=$ $1800$

Number of students opted basketball $=$$750$

Number of students opted cricket $=$$800$

Number of students opted lawn tennis $=$$1800-\left(750+800\right)=1800-1550=250$

Ratio of the number of students opting basket ball, cricket and lawn tennis$=$$750:800:250$

Lowest term of $750:800:250$ can be obtained by dividing each term by their HCF $50$

$750\times \frac{1}{50}:800\times \frac{1}{50}:250\times \frac{1}{50}=15:16:5$

Hence, Ratio of the number of students opting basket ball, cricket and lawn tennis respectively in lowest terms is $15:16:5$