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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Number of total guests = 100 .
From them, 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage
Let the minimum number of people who belonged to all three of heritages be x.
90+80+75-2x = 100
245 - 2x = 100
245 -100 = 2x
2x = 145
x = 72.5 .
Therefore, 72.5 guests may be belongs to all the three heritages .
From them, 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage
Let the minimum number of people who belonged to all three of heritages be x.
90+80+75-2x = 100
245 - 2x = 100
245 -100 = 2x
2x = 145
x = 72.5 .
Therefore, 72.5 guests may be belongs to all the three heritages .
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