Question

In a village, every weekend, three-eighth of the men and one-third of the women participate in a social activity. if the total number of participants is 54, and out of them 18 are men then the total number of men and women in the village is:

Answer 1

In a village, every weekend, three - eight {e.g., 3/8th } of men and one - third {e.g., 1/3th } of women participate in a social activity.

Let number of men = X
number of women = Y
then, every weekend number of men participants = 3X/8
and number of women participants = Y/3
so, total number of participants = 3X/8 + Y/3
=> 3X/8 + Y/3 = 54 .......(i)

Again, question said in 54 participants , 18 are men then definitely (54 - 18) = 36 are women.
so, 3X/8 = 18
=> 3X = 8 × 18
=> X = 8 × 6 = 48

and Y/3 = 36
=> Y = 3 × 36 = 108

Hence, total number of men and women in the village = X + Y = 48 + 108 = 156.

Answer 2

Based on the given ratios of men and women participating in the social activity, the total number of men and women in the village is calculated to be 156.

Step-by-step explanation:

In solving for the total number of men and women in the village, you would need to use the given information: three-eighth of the men and one-third of the women participate in a social activity, and out of the total 54 participants, 18 are men. This implies that 54-18=36 are women.

From this, we calculate the total number of men and women separately using the ratios provided. So, if 3/8 of the total men equals 18, then the total number of men in the village would be 18 / (3/8) = 48. And if 1/3 of the total women equals 36, the total number of women in the village would be 36 / (1/3) = 108.

Therefore, the total number of men and women in the village is 48+108 = 156.

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