SOLUTION: The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said t

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Question 259443: The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said they had taken chemistry and 15 said they had taken both. Ten said they had taken neither. How many recent high school grads were surveyed?
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The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said they had taken chemistry and 15 said they had taken both. Ten said they had taken neither. How many recent high school grads were surveyed?
Number of women who took only physics = 32 - 15 = 17
Number of women who took only chemistry = 51 - 15 = 36
Number of women who took both courses = 15
Number of women who took neither course = 10
17 + 36 + 15 + 10 = 78