Question

A survey of 1,082 tourists visiting Orlando was taken. Of those surveyed:

253 tourists had visited the Magic Kingdom
269 tourists had visited LEGOLAND
281 tourists had visited Universal Studios
86 tourists had visited both the Magic Kingdom and LEGOLAND
58 tourists had visited both the Magic Kingdom and Universal Studios
83 tourists had visited both LEGOLAND and Universal Studios
29 tourists had visited all three theme parks
How many tourists had not visited any of these three theme parks?

Answer 1

23 tourists did not visit any of these three theme parks.

Explanation:

Given that a survey of 1,082 tourists visiting Orlando was taken, and of those surveyed:

253 tourists had visited the Magic Kingdom

269 tourists had visited LEGOLAND

281 tourists had visited Universal Studios

86 tourists had visited both the Magic Kingdom and LEGOLAND

58 tourists had visited both the Magic Kingdom and Universal Studios

83 tourists had visited both LEGOLAND and Universal Studios

29 tourists had visited all three theme parks

To determine how many tourists had not visited any of these three theme parks, the following calculation must be performed:

1,082 - (29 + 83 + 58 + 86 + 281 + 269 + 253) = X

1.082 - 1.059 = X

23 = X

Therefore, 23 tourists did not visit any of these three theme parks.