Question

A family of five people received three chocolate boxes of $2\dfrac{1}{2}$ kg each as a gift. What weight of the chocolates did each family member receive if the boxes were equally divided among them?

Answer 1

Hint: Here, in this question it is clearly given that a family which consists of a total five members received three chocolate boxes of $2\dfrac{1}{2}$kg each. We are supposed to find out the total weight of those chocolate boxes if they were divided equally among the members. In order to find the solution of this given question, we will use the basic arithmetic operations of multiplication and division.

Complete step-by-step solution:
Given the weight of one chocolate box is $2\dfrac{1}{2}$kg.The weight of three chocolates boxes will be three times the weight of one chocolate box. That is,
$
   \Rightarrow 3 \times 2\dfrac{1}{2} \\
   \Rightarrow 3 \times \dfrac{5}{2} \\
   \Rightarrow \dfrac{{15}}{2} = 7.5 \\
 $
So, the total weight of three chocolate boxes is $7.5$kg.
Now, we divide the total weight of three chocolate boxes by five, we get,
$ \Rightarrow \dfrac{{7.5}}{5} = 1.5$
Therefore, the weight of the chocolates which each family member received is $1.5$kg, provided that chocolate boxes were divided equally.

Note: The given question was really an easy one. Here, we just used the arithmetic operations of multiplication and division to find our answer. We used multiplication, when we had to find the total weight of those three chocolate boxes. We used division, when we had to divide the total weight among the five members of the family. Instead of using multiplication, we could also use the arithmetic operation of addition, as it would give the same result.
$ \Rightarrow 2\dfrac{1}{2} + 2\dfrac{1}{2} + 2\dfrac{1}{2} = \dfrac{5}{2} + \dfrac{5}{2} + \dfrac{5}{2} = \dfrac{{15}}{2} = 7.5$