Question

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.​

Answer 1

27

Explanation:

100 staff member total

48 drink coffee

25 drink both tea and coffee

100 - 48 = 52

52-25= 27

Answer 2

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.