Question

A survey of 1,039 tourists visiting Orlando was taken. Of those surveyed:282 tourists had visited the Magic Kingdom300 tourists had visited Universal Studios57 tourists had visited both the Magic Kingdom and LEGOLAND95 tourists had visited both the Magic Kingdom and Universal Studios90 tourists had visited both LEGOLAND and Universal Studios47 tourists had visited all three theme parks82 tourists did not visit any of these theme parksHow many tourists only visited the LEGOLAND (of these three)?

Answer 1

We would draw a venn diagram for this scenario. On the diagram,

M represents the set that visited the Magic Kingdom

U represents the set that visited the Universal Studios

L represents the set that visited LEGOLAND

The diagram is shown below

Given that the total number of tourists is 1039, it means that

282 - (48 + 47 + 10) + 300 - (48 + 47 + 43) + L - (10 + 47 + 43) + 48 + 47 + 10 + 43 + 82 = 1039

180 + 162 + L - 100 + 148 + 82 = 1039

L + 472 = 1039

L = 1039 - 472

L = 567

Thus, the number of tourists that visited only LEGOLAND is

567 - 100

= 467