In a survey of people 120 drink tea and 90 do not drink tea. 150 drink cofee and 75 drink coffee but not tea.
(i) How many people do not drink both drinks?
Answers
Answer:
it's an example change it accordingly dear
Step-by-step explanation:
This can be solved by using Venn Diagrams.
It is given that there are totally 300 people.
No. of people who drink coffee = 50% of 300 = (50/100) x 300 = 150
No. of people who drink tea = 60% of 300 = (60/100) x 300 = 180
No. of people who drink both = 20% of 300 = (20/100) x 300 = 60
The whole box is the sum of all people = 300
The region A represents the no. of people who drink coffee ONLY.
The region C represents the no. of people who drink Tea ONLY.
The region B represents the no. of people who drink Both.
Whereas,
The whole Grey circle (Region A and B) represents the total no. of people who drink coffee, but some of them also drink tea (overlapped region).
And in a similar manner the Orange circle (Region B and C) represents the people who drink tea, but some also drink coffee (overlapped region).
Therefore, Region X = Total - (Region A + Region B + Region C)
=> Region A = Grey circle - Region B = 150 - 60 = 90 (drink coffee ONLY)
=> Region B = Orange circle - Region B = 180 - 60 = 120 (drink tea ONLY)
Therefore,
Region X = 300 - 90 - 120 - 60 = 30 (Drink neither)
30 people neither drink coffee nor tea.