A box of sweets is divided among 24 children of class one of your school , they will get 5 sweets each . Calculate by applying theory of variation how many sweets would each get, if the number of the children is reduced by 4 .

Explanation

Let the number of children =B and the number of sweets obtained by each child = A . `therefore ` B varies inversely as A , since if the number of children increases , the number of sweets obrtained by each will be decreased.
`therefore B prop 1/A rArr =k 1/A .......(1) (where k ne0=v.c)` [v.c =variation constant]
As per question , if B =24 ,then A =5 .
`therefore` We "get" from (1) , 24 =k `1/5 rArr k=120`
`therefore by (1) we "get" , B =120 . 1/A rArr B =(120)/(A) ......(2) `
Then if B =24 -4 =20 ,we get from (2) , 20 =`(120)/(A) or A =(120)/(20)=6`.
Hence each child will get 6 sweets .