Answer:
64 students drink coke only
34 students drink pepsi only
Step-by-step explanation:
Here, we want to know the number of students that drink coke only and number of students that drink pepsi only.
Let the number of students that drink both be x
Mathematically,
n(μ) = 119 where μ represents the universal set
n(P) = 39
n(C) = 69
n(C n P) = x
n(C n P)’ = 16
n(P) only = 39 - x
n( C) only = 69 - x
Mathematically;
119 = (69-x) + (39-x) + x + 16
119 = 69 + 39 + 16 -2x + x
119 = 124 - x
x = 124 - 119
x = 5
So the number of students drinking pepsi only = 39 -5 = 34
The number of students drinking coke only = 69-5 = 64
