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: The number of students who opted basketball to the number of students who opted table tennis.

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Solution

Given: Total number of students = 1800

Number of students who opted basketball = 750

Number of students who opted cricket = 800

Therefore, number of students who opted tennis = Total number of students $-$ (Students who opted basketball $+$ Students who opted cricket)

$= 1800 - (750 + 800) = 1800 - 1550 = 250$

Ratio of number of students who opted basketball to that of who opted table tennis

= $\frac{Number~of~students~who~opted~basketball}{Number~of~students~who~opted~table~tennis}$

= $\frac{750}{250}$
= $\frac{3}{1}$ [Dividing numerator and denominator by HCF of 750 and 250 i.e. 250]

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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

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