Patrick C.

asked • 01/13/17

Venn Diagram Algebra Question

 
In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch (AL), Pizza Tower (PT), the Dining Hall (DH).
 
25 liked AL but not PT
15 liked AL only
58 liked AL
63 liked PT
27 liked DH
25 liked PT and AL but not DH
17 liked PT and DH
 
(a) How many liked PT or DH?
 
(b) How many liked all three?
 
(c) How many liked only DH?
 
How do I answer these questions? I believe (c) is 27, but how do I answer (a) and (b)

1 Expert Answer

By:

David W. answered • 01/13/17

Experienced Prof

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.