150 college students were interviewed

85 were registered for a Math class

70 were registered for an English class

50 were registered for both Math and English

complete a Venn Diagram showing the information.

How many signed up only for a Math class?

How many signed up for Math and English?

How many signed up neither for Math nor English?

@@Given:

n(Math) = n(Math only) + n(Math and English)

85 = n(Math only) + 50

35 = n(Math only)n(Math and English) = 50(given in problem statement)n(Neither Math nor English) = n(Students) – (n(Math) + n(English) – n(Math and English))

n(Neither Math nor English) = 150 – (85 + 70 – 50)

n(Neither Math nor English) = 150 – 105

n(Neither Math nor English) = 45@Given:

n(Math) = n(Math only) + n(Math and English)

85 = n(Math only) + 50

35 = n(Math only)n(Math and English) = 50(given in problem statement)n(Neither Math nor English) = n(Students) – (n(Math) + n(English) – n(Math and English))

n(Neither Math nor English) = 150 – (85 + 70 – 50)

n(Neither Math nor English) = 150 – 105

n(Neither Math nor English) = 45Given:

n(Math) = n(Math only) + n(Math and English)

85 = n(Math only) + 50

35 = n(Math only)n(Math and English) = 50(given in problem statement)n(Neither Math nor English) = n(Students) – (n(Math) + n(English) – n(Math and English))

n(Neither Math nor English) = 150 – (85 + 70 – 50)

n(Neither Math nor English) = 150 – 105

n(Neither Math nor English) = 45