Question

In a village,every weekend, three-eigth 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 228 180 156 204

Answer 1

Let the total number of men be x and number of women be y.

Total number of participants = 54.

Given that number of men = 18.

So, number of women = 54 - 18 = 36.

Given that (3/8)th of the men participate in a social activity.

= > (3/8)x = 18

= > 3x/8 = 18

= > 3x = 144

= > x = 48.

Now,

It is also given that (1/3)rd of the women participate in social activity.

= > (1/3)y = 36

= > y/3 = 36

= > y = 108.

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

Hope this helps!

Answer 2

in a village , every weekend , thrree - 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

hence, answer is 156