A survey of a group of people produced the following results: there were 25 people with brown eyes and 15 peop

A survey of a group of people produced the following results: there were 25 people with brown eyes and 15 people with blonde hair. If 10 people had both brown eyes and blonde hair and 23 people had neither, how many people were interviewed?|||try 53. imagine one big circle with 2 interlocking circles inside of it. the interlocking piece has 10 in it, the other pieces of the inside circles have 15 and 5 respectively. Then, there are 23 that are in the big circle, but not in either of the 2 circles inside, so 10+15+5+23=53|||The answer seems simple





If U be the total number of person. A with brown eyes, 15 with blonde hair, 10 with both would be intersection of A and B and 23 will neither would be complement of A U B.





U = A + B - Ainteresection B + (A U B)%26#039;


U = 25 + 15 -10 + 23





53 persons in total were interviewed|||Easiest to make a Venn diagram..... and then count:


Total people = People with neither + People with ONLY brown eyes + People with ONLY blonde hair + People with both brown eyes and blonde hair.





People with neither = 23


People with ONLY brown = 25 - 10 = 15


People with ONLY blonde = 15 - 10 = 5


People with both = 10





Add them together.... you get 53!





Good luck!|||63 or 73|||Ans. is 53