Question
Mathematics Question on Inverse Proportion
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
Answer
Number of remaining children = 24 - 4 = 20
Let the number of sweets which each of the 20 students will get, be x.
The following table is obtained.
Number of students | 24 | 20 |
---|---|---|
Number of sweets | 5 | x |
If the number of students is lesser, then each student will get more number of sweets.
Since this is a case of inverse proportion,
24×5=20×x
x=2024×5
Hence, each student will get 6 sweets.