Question

nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people should nathan expect to return a smile if he smiles at 650 people over a period of time

Answer 1

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 :

$R = \dfrac{36}{50}$

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

$\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468$

Therefore, number of smiles Nathan expect to return is 468.