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

Number of men participants = 18 (Given)

Find the number of female participants:

Female participants = 54 - 18 = 36

Find the total number of men in the village:

3/8 of the men = 18

1/8 of the men = 18 ÷ 3 = 6

8/8 of the men = 6 x 8 = 48

Find the number of women in the village:

1/3 of the women = 36

3/3 of the women = 3 x 36 = 108

Find the total population in the village:

Total population = 48 + 108 = 156

Answer: (C) 156

Answer 2

Given -

Total number of participants = 54

number of men participants = 18

_________________________________

Finding number of women participants-

54 - 18 = 36

Number of women = 36

_________________________________

Finding number of men in the village -


3/8 of men participants = 18

8/8 = ?

= 18 ÷ 3/8

= 18 x 8/3

= 144/3 = 48.

Number of men in the village = 48

___________________________________

Finding number of women in the village -

1/3 of women participants = 36

3/3 = ?

= 36 ÷ 1/3

= 36 x 3/1

= 108

Number of women in the village = 108

____________________________________

Finding total number of men and women in village

number of men = 48

number of women = 108

Total = 48 + 108 = 156

Hence - Option "C" is the answer .

$\bold{Answer: \: 156}$