SOLUTION: The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 23 said they had taken physics, 47 said t

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Question 480928: The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 23 said they had taken physics, 47 said they had taken chemistry and 5 said they had taken both. Seven said they had taken neither. How many recent high school grads were surveyed?

Answer by stanbon(75887) (Show Source):
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The National Association for Women in Science asked recent high school grads if they had taken certain science classes.
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Of those surveyed, 23 said they had taken physics, 47 said they had taken chemistry and 5 said they had taken both. Seven said they had taken neither. How many recent high school grads were surveyed?
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Draw a Venn diagram of two intersecting circles.
Put 5 in the intersection
Put 23-5 = 18 in P but not in the intersection.
Put 47-5 = 42 in C but not in the intersection.
Put 7 in the rectangle but not in either circle.
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Total number = 5 + 18 + 42 + 7
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Cheers,
Stan H.