Question

In a survey of 900 students in a school, it was found that 600 students liked tea, 500
liked coffee and 125 did not like both drinks.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the number of students who like both drinks.
(iii) Find the number of students who didn't like tea only

Answer 1

Answer:

300 students did not like tea.

The total is 900. As 125 like neither tea nor coffee, 775 like one or the other or both.

We subtract this from the total number who like tea (600) added to the total number who like coffee (500) in order to find the overlap which gives up 325 i.e. 600 + 500 - 775 = 325

We subtract this number from the total number of those who like coffee to find the number of those who only like coffee which gives us 175 i.e. 500–325 = 175

If we add this number to the number of those who like neither we get 300: 175+125=300

Answer 2

Answer:

see the attachment...........