Question

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 children is reduced by 4?

Answer 1

Hint: We first find the total number of sweets by multiplying the number 24 with 5. Then we find the new number of children and divide 120 with that number to find the solution. Basically we are using the unitary method here.

Complete step by step solution:
A box of sweets is divided among 24 children, they will get 5 sweets each.
We find the total number of sweets by multiplying the number 24 with 5.
So, the total number of sweets is $24\times 5=120$.
Now we have to find the number of sweets each would get if the number of children is reduced by 4.
The new number of students is $24-4=20$.
We divide 120 by 20 to get the number of sweets each would get.
So, the number is $\dfrac{120}{20}=6$.
Therefore, the number of sweets each would get if the number of children is reduced by 4 is 6.
So, the correct answer is “6”.

Note: We can also use the algebraic form where we assume the total number of sweets as $x$. We get $\dfrac{x}{24}=5$. We solve the equation to get the solution as $\dfrac{x}{20}$ which gives the solution as 6.