Question

A survey of 1,116 tourists visiting Orlando was taken. Of those surveyed:

280 tourists had visited the Magic Kingdom

292 tourists had visited LEGOLAND

94 tourists had visited both the Magic Kingdom and LEGOLAND

97 tourists had visited both the Magic Kingdom and Universal Studios

80 tourists had visited both LEGOLAND and Universal Studios

38 tourists had visited all three theme parks

91 tourists did not visit any of these theme parks

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

Your Answer:

Answer 1

Explanation:

We can solve this using a Venn Diagram,

First we write down the 91 tourists that didn't visit any of the theme parks.

Then we focus on the 38 tourists that visited all three theme parks and write that down in the intersection of the 3 circles.

80 tourists visited both LEGOLAND and Universal Studios but we already know that 38 visited the three of them, so 80-38= 42 tourists visited only those two parks.

97 tourists visited both Magic Kingdom and Universal Studios, but again, we know that 38 visited the three of them, so 97-38 = 59 tourists visited only those two parks.

94 tourists visited both Magic Kingdom and LEGOLAND, but since 38 visited the three of them, we subtract 94-38 = 56 tourists visited those two parks.

292 tourists visited LEGOLAND so we'll focus on that circle 292 - (56+38+42) = 156 tourists visited only LEGOLAND

280 tourists visited Magic Kingdom so we focus now on the Magic Kingdom circle and we have 290 - (56+38+59) = 127 only visited Magic Kingdom.

Now we will sum up all the quantities we have and subtract them from the total amount of tourists (1116) to find out how many people visit Universal Studios

1116 - (91+156+42+38+56+59+127) = 547