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?

Given:

In the given city, there are four men for every three women and five children for every three men.

Calculation:

For 3 women there are 4 men

For 1 woman there are 4/3 men

Now, for 531 women there are = \(531 \times {4 \over 3}\)

⇒ 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

⇒ \(708 \times {5 \over 3}\)

⇒ 236 × 5

⇒ 1180

∴ 1180 children are there in the city if it has 531 women.