Question

In a survey of a group of people, it was found that 60 0f them have

Answer 1

Answer:

i) 15  ii) 177

Explanation:

Number of people with business = 60

Number of people with farming = 125

Number of people with government jobs = 45

Number of people with business only = 27

Number of people with government jobs only = 15

10 have business and government  job only, 5 have government job and farming only.

i) Let x represent the number of people with all three jobs. Hence:

Number of people with government jobs = number of people with all three jobs + number of people with government and farming job + number of people with government and business + number of people with government job only

45 = x + 10 + 5 + 15

45 = x + 30

x = 15

15 people have all three profession.

ii)

Number of people with business jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and business + number of people with business job only

60 = 15 + number of people with business and farming job + 10 + 27

number of people with business and farming job = 60 - 52 = 8

Number of people with farming jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only

125 = 15 + 8 + 5 + number of people with farming job only

number of people with farming job only = 125 - 28 = 97

Number of people surveyed = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only +  number of people with government and business + number of people with business job only + number of people with government job only

Number of people surveyed = 15 + 8 + 5 + 97 + 10 + 27 + 15

Number of people surveyed = 177