Question 482204: Problem says:
A car dealership interviewed every driver who came onto their lot on Tuesday. This produced the following results: there were 26 people who owned trucks and 45 people who owned cars. If 9 people owned both a truck and a car and 11 people owned neither, how many people were interviewed?
Could you provide me with some assistance, please? Also, to get a better understanding of this, would you mind showing me how you arrived to your answers? Thank you so much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A car dealership interviewed every driver who came onto their lot on Tuesday. This produced the following results: there were 26 people who owned trucks and 45 people who owned cars. If 9 people owned both a truck and a car and 11 people owned neither, how many people were interviewed?
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Use a Venn Diagram:
Draw a rectangle around 2 intersecting circles.
Label the circles "trucks" and "cars".
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There are 11 people in the rectangle and not in either circle.
There are 9 people in the intersection of trucks and cars.
There are 26-9 = 17 who owned trucks but no cars
There are 45-9 = 36 who owned cars but no trucks
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Answer:
# of people interviewed = 11+9 + 17+36 = 73
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Cheers,
Stan H.
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