cinema hall contains a certain number of people. If 2212% are children, 4712% are men and 84 are women, find the number of men in the hall.

A. 63
B. 84
C. 113
D. 133

1 answer

Let's assume the total number of people in the cinema hall is x.
Therefore, 2212% of x are children, which is (2212/100)*x = 22.12x.
4712% of x are men, which is (4712/100)*x = 47.12x.
We know that the number of women is 84.
So, the total number of people in the cinema hall can be written as:
22.12x + 47.12x + 84 = x
Simplifying the equation, we get:
69.24x + 84 = x
68.24x = 84
x = 84/68.24
x ≈ 1.231
Since x is not a whole number, we need to find the number of men rounded to the nearest whole number.
Therefore, the number of men in the cinema hall is approximately 47 men (because 47.12 multiplied by 1.231 is approximately 57.85).
Therefore, the answer is option B. 84.