Question

A group of 20 people visited Anglesey for a weekend break.

• 10 of the group visited Beaumaris Castle.
• 13 of the group visited South Stack Lighthouse.
• 4 of the group did not visit either of these places.

Complete the Venn diagram below by stating the number of people in each region A,B,C and D to show this information.
The universal set, ε, contains all of the 20 people in the group.

Answer 1

A = 4, B = 3, C = 7, D = 6

Explanation:

Answer 2

A = 4, B = 3, C = 7, D = 6

Explanation:

A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.