Question

In a village every weekend, three right of the men and one-third of the women participate in a society 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

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Answer 2

Answer:

The total number of men and women in the village is 156

Step-by-step explanation:

Step 1:

Let the total number of men be m and number of women be w.

Step 2:

Total number of participants = 54.

Given that number of men = 18.

Step 3:

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

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

=> (3/8)m = 18

=> 3m/8 = 18

=> 3m = 144

=> m = 48.

Step 4:

Now,

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

=> (1/3)w = 36

=> w/3 = 36

=> w = 108.

Step 5:

Therefore, total number of men(m) and women(w) in the village = m +w=>108 + 48 = 156.