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If there were 2u women, there were ( 2u + 100) men and there were ( 2u + 100) /2 = ( u + 50 ) children.

As women is 1/5 of all people, so total people is 2u * 5 = 10u.

10u  = 2u + ( 2u + 100) +( u + 50 )

10u = 5u + 150

5u = 150

u = 30

10u = 300

There were 300 people.

 

Check: 2u = 60

2u + 100 = 160

160/2 = 80

60 + 160 + 80 = 300 checked.

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