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?

Solution:

Let the number of children be x and the number of sweets be y

If the number of children decreases, the number of sweets they get will increase. Hence they are in inverse proportion.

Two numbers x and y are said to be in inverse proportion when an increase in one quantity decreases the other quantity and vice versa.

xy = k or x = (1/y) k

where k is a constant.

Hence, x₁y₁ = x₂y₂

24 × 5 = 20 × y₂

y₂ = (24 × 5)/20

y₂ = 6

Thus, each child gets 6 sweets each.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 13

Video Solution:

If a box of sweets is divided into 24 children, they will get 5 sweets each. How many would each get, if the number of children is reduced to 4?

NCERT Solutions Class 8 Maths Chapter 13 Exercise 13.2 Question 4

Summary:

If a box of sweets is divided into 24 children, they will get 5 sweets each. If the number of children is reduced to 4, each of them will get 6 sweets.

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