A box of sweets is divided among 24 children of class one of our school, they will get 5 sweets each. Let us calculate by applying theory of variation how many sweets would each get, if the number of the children is reduced by 4.
Given: number of children (x) = 24
Number of sweets each get (y) = 5
New number of children (x1) = 24 – 4 = 20
Let new Number of sweets each get = y1
As per given condition if the number of students reduced then each will get more sweets than previously given. Hence, it is the question of indirect proportion.
i.e. xy = x1y1
or 24×5 = 20 × y1
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⇒ y1 = 6
Hence, each children will get 6 sweets.
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