Given :
Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.
To Find :
How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.
Solution :
Ratio of people smiled by total number of people is :
[tex]R = \dfrac{36}{50}[/tex]
Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :
[tex]\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468[/tex]
Therefore, number of smiles Nathan expect to return is 468.
