Question

If one symbol represents 50 children then half symbol represents ____________ children.
A. 5
B. 25
C. 15
D. 20

Answer 1

Hint- Let us consider the total number of objects as\[x\]. To find the half of the objects, we are in need to divide the total numbers of objects by two. That is in mathematical form we can write,
Total number of objects=$x$
Then,
Half of the objects \[ = \dfrac{x}{2}\]

Complete step by step answer:
It is given that a symbol represents \[50\] children.
Let us take the symbol to be\[X\].
So, in accordance with the problem,\[X = 50\]children.
Now, we have to find the half of the symbol, from the hint given we are in need to divide the symbol by two.
We can write the symbolic representation as, Half of the symbol \[ = \dfrac{X}{2}\]
Substitute the value of\[X\]in the above form we get, Half of the symbol \[ = \dfrac{{50}}{2} = 25\]
That is half of the symbol represents 25 children.
Hence, we have come to a conclusion that,
If one symbol represents \[50\] children then half symbol represents \[25\] children.
The correct option is (B).

Note: We can solve this problem in a different way.
Let half represents \[\dfrac{1}{2}\]
To find the half of the symbol, we can multiply the symbol by \[\dfrac{1}{2}\].
Hence, we get, Half of the symbol =total symbol \[ \times \dfrac{1}{2}\]
Since total symbol is taken as\[X\], we can now replace it in the above formula,
Therefore we get, Half of the symbol \[ = X \times \dfrac{1}{2}\]
Substitute the value of\[X\], we get, Half of the symbol \[ = 50 \times \dfrac{1}{2} = 25\]
Half of the symbol represents 25 children.