A survey of 1,010 tourists visiting Orlando was taken. Of those surveyed:257 tourists had visited  the Magic Kingdom296 tourists had visited Universal Studios87 tourists had visited both the Magic Kingdom and LEGOLAND97 tourists had visited both the Magic Kingdom and Universal Studios93 tourists had visited both LEGOLAND and Universal Studios16 tourists had visited all three theme parks71 tourists did not visit any of these theme parksHow many tourists only visited the LEGOLAND (of these three)?

Question
Asked Sep 7, 2019

A survey of 1,010 tourists visiting Orlando was taken. Of those surveyed:

  • 257 tourists had visited  the Magic Kingdom
  • 296 tourists had visited Universal Studios
  • 87 tourists had visited both the Magic Kingdom and LEGOLAND
  • 97 tourists had visited both the Magic Kingdom and Universal Studios
  • 93 tourists had visited both LEGOLAND and Universal Studios
  • 16 tourists had visited all three theme parks
  • 71 tourists did not visit any of these theme parks

How many tourists only visited the LEGOLAND (of these three)?

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Expert Answer

Step 1

Denote Magic Kingdom by M

 LEGOLAND by L

 Universal Studios by U.

Step 2

16 tourists had visited all three theme parks.

So (87-16)=71 tourists had visited only the Magic Kingdom and LEGOLAND.

(97-16)=81 tourists had visited only the Magic Kingdom and Universal Studios

(93-16)=77 tourists had visited only LEGOLAND and Universal Studios

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Step 3

257-(81+16+71)=89 tourists had visited  the Magic Kingdom o...

M
U
81
89
122
16
77
L
71
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M U 81 89 122 16 77 L 71

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