Question

# If a box of sweets is divided among 24 children, they will get 5 sweets each. If the number of the children is reduced by 4, each child would get___sweets?

A

6

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B

7

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C

5

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D

8

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Solution

## The correct option is A 6 As the number of children increases, the number of sweets to each decrease. So children and sweets are in inverse proportion. So, xy = constant Let x1 = Number of children = 24 y1 = Number of sweets each children gets if its distributed among 24 children = 5 x1=24 and y1 = 5 x2 = 20 and y2 = ? x1y1 = x2y2 y2 = 24×520=6 So, each child gets 6 sweets.

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