SOLUTION: Could you please help me solve this Px 10. (4 pts) A survey of a group of people produced the following results: there were 25 people with brown eyes and 15 people with blonde h

Question 143321This question is from textbook Survey of Math w/ Apllications
: Could you please help me solve this Px
10. (4 pts) 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? This question is from textbook Survey of Math w/ Apllications

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
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Use Venn Diagrams:
Draw two intersecting circles inside a rectangle.
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Label one circle "brown eyes" ; Label the other circle "blonde hair".
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put a "10" in the intersection of the circles.
put a "23" in the rectangle but not in either circle
put a 25-10 = "15" in the brown eyes circle that is not in the intersection
put a 15-10 = "5" in the blonde hair circle that is not in the intersection
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Count up all the "" numbers to get 53
That is the number of people interviews.
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Follow this same pattern to work the other problem you posted which
involves three intersecting circles.
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Cheers,
Stan H.
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