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This will leave us with those who are taking at least metaphysics (regardless of whether or not they are taking ethics): 5,500 - 500 = 5,000. Finally, if we know that there are 5,500 taking at at least one of these classes, we want to get rid of that portion taking ethics. To fiind out how many are taking ONLY ethics, we have to subtract off the amount that are taking ethics and metaphysics. Based on our prompt, we know that there are 1,700 taking both and that 2,200 are taking ethics. Therefore, we know that 15,000 - 9,500 = 5,500 are taking at least one of the classes. We know there are 15,000 total and that 9,500 are taking neither class. The easiest way to understand this problem is to draw a Venn Diagram:Ī ∪ B = The total students taking either ethics or metaphysicsĪ ∩ B = The total students taking both ethics and metaphysics
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