Question

In a survey of 750 students in a school, it was found that 520 students liked tea, 450 liked coffee, and 90 did not like both the drinks. (i) Draw a Venn-diagram to illustrate the above information, (i) Find the number of students who liked both the drinks. (iii) Find the number of students who did not like tea only ​

Answer 1

Answer:

i: see picture attached

ii:310 of the student liked both drinks

iii: Every other student that does not like tea only should be 90+310+210=610

Step-by-step explanation:

(ii) If there are 750 students we can start by subtracting 90 since they don't like either drink. 750-90=660. 660 is the number of students that like both tea and coffee. From there we know that 450 like coffee and 520 like tea.

For the students that only like coffee subtract 660 from 450, that leaves up with 210 students.

For the students that only like tea subtract 660 from 520, that leaves 140 students that only like tea.

If you subtract 660 from the students that only like one drink. 660-( 140+210)= 310 students that like both drinks.

To double check the work, 210+140+310+90 should equal 750.

(iii) If this is asking for all other students who do not only like tea. we subtract

750-140=610

or

90+310+210=610

Hope this is what the assignment is looking for.