Question

A man has five brothers and 3 sisters and his wife has three brothers and five sisters. All of them assemble in a picnic for lunch, each male pays Rs.10 per plate and each female pays Rs.8 per plate, then, what is the total amount collected?

Answer 1

Hint: In the above question, first of all we have to find the total number of male and female present in the picnic. Then, we will multiply the number of male and females to their rate for lunch and their summation will give us the total amount collected.

Complete step-by-step answer:
We have been given that, a man has five brothers and three sisters and his wife has three brothers and five sisters. All of them assemble at a picnic for lunch, each male pays Rs.10 per plate and each female pays Rs.8 per plate, then we have to find the total amount collected.
Let us count the number of males and females who went for the picnic by adding up the respective numbers as shown below.
Number of males \[\Rightarrow \text{1 man + 5 brothers + his wife }\!\!'\!\!\text{ s 3 brothers = 9}\]
Number of females \[\Rightarrow \text{ man }\!\!'\!\!\text{ s wife + her 5 sisters + her husband }\!\!'\!\!\text{ s 3 sisters = 9}\]
Now, we have got the total number of males and females. We know that each male pays Rs.10 per plate and each female pays Rs.8 per plate. So, we can get the total amount by multiplying the number of males and females with respective amounts per plate.
Amount paid by males \[\Rightarrow \left( 9\times 10 \right)=Rs.90\]
Amount paid by females \[\Rightarrow \left( 9\times 8 \right)=Rs.72\]
So, adding these, we get the total amount collected as
\[\begin{align}
  & \Rightarrow \text{ Amount paid by male }\!\!'\!\!\text{ s + Amount paid by female }\!\!'\!\!\text{ s} \\
 & \Rightarrow \text{Rs}\text{.90+Rs}\text{.72 = Rs}\text{.162} \\
\end{align}\]
Therefore, the total amount collected is equal to Rs.162

Note: Be careful while counting the number of males and females because by mistake we just forget to add man and his wife while counting the number of males and females present in the picnic and we get of male and female equal to 8, which gives us the wrong answer.