The Wilson 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?
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The minimum number of people who claimed ancestry from all three heritages is 45
“Let's put these people in the rooms to make it easier to understand.”
“Since we have 100 people, let it be 100 rooms for them.”
“So, 90 Dutch people fill 90 rooms.”
“We need to find the minimum common people so we have to make common rooms less in number. “
“80 Germans fill 10 empty rooms and 70 Dutch people room.”
“There are 10 German rooms left, 20 Dutch rooms and 70 common rooms. Repeat this action and fill non-common rooms with English and so forth.”
What do we have?
“10 German to English and 20 Dutch to English. “
So, the answer is 45 (English, Dutch, German)
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