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The Barnes family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages?

Fact Lab

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Interesting fact:

Do you know who Prince Albert is? He was Queen Victoria’s husband and it is he you have to thank for your Christmas tree! He came from Germany and brought the tradition to England with him when he married. Soon it had spread across the world!