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. [4 marks]

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Solution

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) (1 mark)

= 1800 - (750 + 800) = 1800 - 1550 = 250 (1 mark)

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

= $\frac{N u m b e r o f s t u d e n t s w h o o p t e d b a s k e t b a l l}{N u m b e r o f s t u d e n t s w h o o p t e d t a b l e t e n n i s}$ (1 mark)

= $\frac{750}{250}$ = $\frac{3}{1}$ [Dividing numerator and denominator 250] (1 mark)

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