Question

A survey of 500 people found 250 like milk, 350 like soda, and 115 like both drinks. How many like neither drink?

Answer 1

Answer:

Question is wrong

Step-by-step explanation:

The survey was of 500 people but you have received the results of 750 people

Answer 2

Answer:

15

Step-by-step explanation:

We know 115 like both, so we cannot add 250 and 350 together to get the correct answer. Recall the Principle of Inclusion-Exclusion

n(A∪B)=n(A)+n(B)−n(A∩B).

We will need to subtract their intersection. If we set

AB=Those that like milk=Those that like soda

then we get the following:

n(A∪B)=250+350−115.

This yields n(A∪B)=485. To get all of those that like neither drink we take the total above and subtract 485 to get 15, the number of people who like neither drink.