In the 2021 Olympics, if the proportion of male athletes to female athletes from Canada was 31:50, what would be the corresponding ratio for male to female athletes for China in the same year?

It is given that the total number of athletes who participated from the given five countries is 32400.

From figure 1, we can easily find the total number of athletes for each of the five countries.

Let the number of total female athletes from these five countries be 100x. Then we will get this table:

In the question, it's given that the proportion of male athletes to female athletes from Canada was 31:50.

Let the number of male athletes from Canada be 31y, which implies the number of female athletes from Canada is 50y. The total number of athletes from Canada is 81y, which is equal to 4860

=> 81y = 4860 => y = 60. Therefore, the number of female athletes from Canada is (50*60) = 3000, which is 25% of the total female athletes (Fig 2).

Hence, the total number of female athletes = 3000*(100/25) = 12000. Hence, 100x = 12000 => x = 120

The following table is given below:

Hence, the ratio for male to female athletes for China in the same year is 360:288, which can be simplified as 5: 4

The correct option is C