Question

lf 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 1

Answer:

Step-by-step explanation:

No. of students =24

no. of sweets each gets =5

therefore, total no. of sweets 24×5=120

the no. of children when 4 is gone =24−4=20

Hence,each child will get  

20

120

​

=6sweets.

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

lf a box of sweets is divided among 24 children, they will get 5 sweets each.

Now, we have to find, how many would each get, if the number of the children is reduced by 4.

As number of children decreases, the share in sweets increases.

So, it means, number of sweets and number of children are in inverse variation.

Now, Number of children = 24 - 4 = 20

Let assume that each children get x number of sweets

So,

$\begin{array}{|c|c|c|c} \hline \rm Number \: of \: children&\rm 24&\rm 20 \\ \hline\rm Number \: of \:sweets&\rm 5&\rm x \\ \hline \end{array}$

By definition of inverse variation,

$\rm \: 24 \times 5 = 20 \times x$

$\rm \: x = \dfrac{24 \times 5}{20}$

$\rm\implies \:x = 6$

Hence, each children would get 6 sweets.

$\rule{190pt}{2pt}$

Basic Concept Used :-

Inverse Variation or Indirect variation :- If x and y are two variables, then x and y are said be in inverse variation, if x increases then y decreases or x decreases if y increases. That means x and y change in the same ratio but inversely.