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 = (36)/(50)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dhz9h9ra4v3iwkm8n7a4neves13wx81ze0.png)
Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :
![(s)/(650)=(36)/(50)\\\\s = (36)/(50)* 650\\\\s = 468](https://img.qammunity.org/2022/formulas/mathematics/high-school/8zdv0nj15zdye71sq7h1t0ke5ntmgpkfhv.png)
Therefore, number of smiles Nathan expect to return is 468.