Question

Pls

help - thanks
6. A group of 100 people touring Europe includes 32 people who speak Portuguese, 62 who speak French, and 21 who speak neither language. How many people in the group speak both Portuguese and French?

Answer 1

Answer: 15

Explanation:

I am not so familiar of this so sorry if I give the wrong answer but here's what I have:

Let P = # people who speak Portuguese

Let F = # people who speak French

Let N = # people who speak neither languages

Let B = # people who speak both Portuguese and French

Total = P+F-B+N

Subsitute the information and solve:

100 = 32+62-B+21

-> 100 = 115-B

-> B = 115-100

-> B = 15

Therefore, 15 people in the group speak both Portuguese and French.