Question

A survey was given to 320 people asking whether people like dogs and/or cats.

102 said they like dogs
196 said they like cats
72 said they don't like cats or dogs.
How many said they liked both cats and dogs?
people liked both cats and dogs.

Answer 1

50 people

Explanation:

After removing the people who liked neither, we are left with,

320 - 72 = 248

now, out of these 248, 196 like cats

248 - 196 = 52 so 52 dont like cats

also, 102 like dogs so 248 - 102 = 146

so 146 dont like cats

these 146 cannot be included in liking both

similarly the 52 cannot be included in liking both

so we are left with 248 - 52 - 146 = 50

so 50 people like both cats and dogs