Question

A survey of n people in the town of badaville found that 50% of them prefer brand

a. Another survey of a100 people in the town of chottaville found that 60% prefer brand

a. In total 55% of all the people surveyed together prefer brand

a. What is the total number of people surveyed?

Answer 1

Answer:

The total number of people surveyed are 200.

Step-by-step explanation:

Consider the provided information.

Let n is the number of people participate in survey out of which 50% of them prefer brand A.

Thus 50% of n = 0.5n

Another survey of a100 people in the town of chottaville found that 60% prefer brand: 60% of 100 = 60

In total 55% of all the people surveyed together prefer brand

Thus, 0.5n + 60 = 0.55(n + 100)

0.5n + 60 = 0.55n + 55

60-55 = 0.55n - 0.5n

5 = 0.05n

n = 100

There were another survey of 100 people in the town, thus the total number of people are: 100 + 100 = 200 people.  

Hence, the total number of people surveyed are 200.