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

Answer:

77

Step-by-step 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.

Answer 2

Answer:

27

Step-by-step explanation:

100 staff member total

48 drink coffee

25 drink both tea and coffee

100 - 48 = 52

52-25= 27