Question

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



a. Another survey of 100 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:

200 people surveyed

Step-by-step explanation:

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

=> Prefer Brand in the town of badaville= (50/100) *n = n/2

survey of 100 people in the town of chottaville found that 60% prefer brand

=> Prefer Brand in the town of chottaville = (60/100) *100 = 60

Total People surveyed together = n + 100

Total Preferring Brand together = n/2  + 60  = (n + 120)/2

55% of all the people surveyed together prefer brand

= ((n + 120)/2 ) /(n + 100)  * 100 = 55

=> (n + 120 )10  = 11(n + 100)

=> 10n + 1200 = 11n + 1100

=> n = 100

Total Number of People Surveyed = 100 + n = 100 + 100 = 200