Of 100 staff members of a school,48 drink coffee,25 drink both tea and coffee and everyone drinks either cofee or tea.how many staff members drink tea.

Question

asked Jun 27, 2020 53.0k views

2 Answers

Tjanez · Answer 1 · 2020-07-01T17:32:53+0000

Answer:

77

Explanation:

Let T represents staff members who drink tea and C represents staff members who drink coffee.

It is given that 48 drink coffee.

n(C)=48

25 drink both tea and coffee.

$n(T\cap C)=25$

Total staff members are 100 and everyone drinks either coffee or tea.

$n(T\cup C)=100$

We know that

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

Substitute the given values.

100=n(T)+48-25

100=n(T)+23

100-23=n(T)

77=n(T)

Therefore, 77 staff members drink tea.