use the following information for the questions

Question

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?

 

Answer 1

Given:

• n(Students) = 150
• n(Math) = 85
• n(English) = 70
• n(Math and English) = 50

 

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

 

Sorry, can't draw a Venn diagram with this text editor.