A survey of a group of 112 tourists was taken in St. Louis. The survey showed the following:

63 of the tourists plan to visit Gateway Arch;
47 plan to visit the zoo;
9 plan to visit the Art Museum and the zoo, but not the Gateway Arch;
12 plan to visit the Art Museum and the Gateway Arch, but not the zoo;
18 plan to visit the Gateway Arch and the zoo, but not the Art Museum;
8 plan to visit the Art Museum, the zoo, and the Gateway Arch;
15 plan to visit none of the three places.

Question

contestada

Respuesta :

AFOKE88 AFOKE88 · Answer 1 · 2022-06-13T19:44:13+02:00

The number of people (x) who only want to go to the art museum is; 10 people

We are given;

Fact 1: 112 total tourists.

Fact 2: 63 of the tourists plan to visit Gateway Arch

Fact 3: 47 plan to visit the zoo

Fact 4: 9 plan to visit the Art Museum and the zoo, but not the Gateway Arch.

Fact 5: 12 plan to visit the Art Museum and the Gateway Arch, but not the zoo

Fact 6: 18 plan to visit the Gateway Arch and the zoo, but not the Art Museum

Fact 7: 8 plan to visit the Art Museum, the zoo, and the Gateway Arch

Fact 8: 15 plan to visit none of the three places

From the Venn diagram attached, when we enter the relevant value, we will solve to get;

The number of people (x) who only want to go to the art museum;

x + 15 + 25 + 12 + 8 + 18 + 12 + 12 = 112

x + 102 = 112

x = 112 - 102

x = 10

Read more about s Venn Diagrams at; https://brainly.com/question/2099071

#SPJ1