21. There are 300 members in a club, 120 of them drink tea and 80 drink tea but not coffee. If each member drinks at least one beverage. Find (0) How many drink coffee. (i) How many drink coffee, but not tea
Answers
Step-by-step explanation:
Given : There are 300 members in a club,
120 of them drink tea and
80 drink tea but not coffee.
each member drinks at least one beverage.
To Find : How many drink coffee.
How many drink coffee, but not tea
Solution:
Total = 300
Tea = 120
Coffee = C
Tea but not coffee = T - T ∩ C = 80
T ∩ C = ?
Total = T + C - T ∩ C as each member drinks at least one beverage.
=> 300 = ( T - T ∩ C) + C
=> 300 = 80 + C
=> C = 220
220 drink coffee
T - T ∩ C = 80
=> 120 - T ∩ C = 80
=> T ∩ C = 40
coffee, but not tea = C - T ∩ C = 220 - 40 = 180
220 drink coffee
180 drink coffee, but not tea
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