There are 1800 students in a school. 800 choose football, 750 choose basketball and the remaining did not choose any game. Find the ratio of the total number of students to the number of students who choose basketball.

1:5

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12:5

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5:12

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12:1

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Solution

The correct option is B
12:5

Total number of students in the school = 1800
Number of students who chose basketball = 750

The ratio of the total number of students to the number of students who choose basketball
= $\frac{T o t a l n u m b e r o f s t u d e n t s}{N u m b e r o f s t u d e n t s w h o c h o o s e b a s k e t b a l l}$
= $\frac{1800}{750}$
= $\frac{36}{15} = \frac{12}{5}$

Therefore, the required ratio is 12:5

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