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The ratio of number of children, women and men in colony is 6 : 4 : 3 respectively and the colony has at least 200 members. What will be minimum number of children in the colony?

The ratio of number of children, women and men in colony is 6 : 4 : 3 respectively and the colony has at least 200 members. What will be minimum number of children in the colony? Correct Answer 96

GIVEN:

The ratio of the number of children, women, and men in a colony is 6: 4: 3 respectively.

The colony has at least 200 members

CALCULATION:

Ratio = 6 : 4 : 3

Let children, women, and men be 6x, 4x, and 3x respectively.

Total member = 13x

So, members should be multiple of 13.

∴ We have to find the least multiple of 13 greater than 200. (∵ minimum number of children in the colony is asked)

As 13 × 16 = 208 there are a total of 208 members

⇒  13x = 208 or x = 16

⇒  minimum number of Children = 6 × 16 = 96

∴ 96 will be minimum number of children in the colony.

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