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In a certain city, there are four men for every three women and five children for every three men. How many children are there in the city if it has 5
Question

In a certain city, there are four men for every three women and five children for every three men. How many children are there in the city if it has 531 women?

A.

389

B.

454

C.

1070

D.

1180

Correct option is D


Given:
In the given city, there are four men for every three women and five children for every three men.
Solution:
For 3 women there are 4 men
For 1 woman there are 4/3 men
Now, for 531 women there are = 531×4/3
⇒ 177 × 4
⇒ 708
For 3 men there are 5 children
For 1 man there are 5/3 children
The number of children for 708 men
⇒ 708×5/3
⇒ 236 × 5
⇒ 1180
1180 children are there in the city if it has 531 women. 

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