Question

I had \[Rs.200\] with me. I gave \[Rs.x\] to Anwar, \[Rs.\dfrac{x}{2}\] to Vidhu and I am left with \[Rs.\dfrac{x}{2}\] .
The amount I gave to Vidhu is ___

Answer 1

Hint: First we can check the statement and find similarities which can be used to form an equation and then convert the statement to an equation and then use it to evaluate and find the desired result.

Complete step-by-step answer:
Given in the question:
Total Amount I Had = 200
Amount given to Anwar = \[Rs.x\]
Amount given to Vidhu = \[Rs.\dfrac{x}{2}\]
Amount I am left with is = \[Rs.\dfrac{x}{2}\]
We have to find the amount gave to Vidhu that is \[Rs.\dfrac{x}{2}\].
For that let’s convert this statement into an equation. Equation will surely help us solve this problem. Most of the real life practical problems can be converted into multiple equations just like this.
Total Amount = Amount gave to Anwar + Amount gave to Vidhu + Amount I Have right now
 \[\therefore 200 = x + \dfrac{x}{2} + \dfrac{x}{2}\]
Let’s take LCM on the right side to simplify the equation
After taking LCM : \[200 = \dfrac{{2x + x + x}}{2}\] .
Taking Denominator to the left side and multiplying it to 200.
 \[\therefore 200*2 = 2x + x + x\]
\[ \Rightarrow 400 = 2x + x + x\]
After adding up all the \[x\] variables, we get: \[\therefore 400 = 4x\] .
Now take constant 4 from right side to left side and divide 400 by 4.
\[\therefore \dfrac{{400}}{4} = x\]
\[ \Rightarrow 100 = x\]
As mentioned above the amount given to anwar is \[Rs.x\] , that means I gave \[Rs.100\] to anwar.
I also gave Vidhu \[Rs.\dfrac{x}{2}\] , Which means I gave her \[Rs.\dfrac{{100}}{2}\].
So, I am left with \[Rs.\dfrac{x}{2}which{\rm{ }}is{\rm{ }}Rs.{\rm{ }}\dfrac{{100}}{2}\] .
\[ \Rightarrow Rs.\dfrac{{100}}{2} = Rs.50\]
Exact Amount I gave to vidhu is \[ \Rightarrow Rs.50\]

Note: We can easily convert the statements like these into equations and then use basic operations on it to solve the problem and get the desired results. These statements are similar to real life, hence solving questions like this will help us in real life also.