Question

In a survey of $600$ students in a school,
(i) $160$ students were found to be taking Tea $215$ taking Coffee, $150$ were taking both Tea and Coffee.
(ii) $150$ students were found to be taking tea and $225$ taking coffee, $100$ were taking both Tea and Coffee.

Find how many students were taking neither tea nor coffee ?

Answer 1

Incomplete question. Considering the further question to be:

Find the number of students who were taking neither tea nor coffee.

i)

$n(T\cup C)=n\left(T\right)+n\left(C\right)-n(T\cap C)$

$=160+215-150$

$=225$

Number of students taking neither tea nor coffee $=600-225=375$

ii)

$n(T\cup C)=n\left(T\right)+n\left(C\right)-n(T\cap C)$

$=150+225-100$

$=275$

Number of students taking neither tea nor coffee $=600-275=325$