Question

It's a Venn diagram problem. 50 patrons, 16 of them like lattes, 12 of them like espressos, and 8 of them like both coffee drinks. How many patrons don't like either of the coffee drinks.

A) 32
B) 22
C) 14
D) 30

Answer 1

Answer:c

Explanation:

Answer 2

Since I can't draw the Venn diagram, I will solve it mathematically.
Let n be the number of drinkers:

n( lattes) = 16
n(espresso) = 12
n(elates AND espresso) = 8
Let's find the number of those who drink either latte or espresso)
n(Lattes OR espresso) = n(lattes) + n(espresso) - n(lattes AND espresso)
n(Lattes OR espresso) = 16 + 12 - 8 = 20
Then 20 likes either lattes or espresso + 8 likes both = 28 like coffee
The total is 50, out of them 28 like coffee, then those who don't like coffee are: 50-28 = 22 (answer B)