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?
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.
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
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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