Question

At North High School, a survey asked two

questions, Question A and Question B. For
each question, students could answer either
“yes” or “no.” Of the 800 students who
responded to the survey, 720 answered “yes” to
Question A, and 640 answered “yes” to
Question B. What is the least possible number
of these students who could have answered
“yes” to both questions?

Answer 1

Answer: 720

Explanation:

To find the least possible number of students who answered "yes" to both questions, we need to assume that all the students who answered "yes" to Question A also answered "yes" to Question B. This assumption gives us a minimum number of students who answered "yes" to both questions.

So, the least possible number of students who answered "yes" to both questions is the number of students who answered "yes" to Question A, which is 720.

Therefore, the least possible number of students who could have answered "yes" to both questions is 720.