SOLUTION: A survey of 500 students were interviewed regarding their methods of transportation used to attend college the previous week. The results are outlined below: 60 walked (W) 80

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Question 1198451: A survey of 500 students were interviewed regarding their methods of transportation used to attend college the previous week. The results are outlined below:
60 walked (W)
80 caught the jitney (J)
74 drove by car only (C)
Only 4 walked and caught the jitney
16 walked and drove
90 drove but did not walk
10 did all three

a.) Use the above data to complete a Venn Diagram using letters W, J, and C.
b.) Using the results of the completed venn diagram, how many students:
i.) used none of the methods of transportation listed that week:
ii.) used exactly none of the three methods:
iii.) caught the bus only:
iv.) used at least two of the methods :
Answer by Edwin McCravy(20081)   (Show Source): You can put this solution on YOUR website!
This is unsolvable because there is a contradiction.
This:
Only 4 walked and caught the jitney
contradicts this:
10 did all three
If 10 did all three, then that means they did two.  So those 10 would have had to
walk and to catch the jitney.  But the first statement says only 4 did.  So there
must be a typo here.  If you want to see a problem exactly like yours, go here:

http://www.algebra.com/tutors/students/your-answer.mpl?question=288071

Edwin
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