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