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Caitlin's science professor gives an A for an average of or better, and a B for an average of or better in her course. Caitlin has obtained scores of , and on her midterm examinations. If the final exam counts for as much as the three midterms together, what score must she get on her final exam to receive a B? To receive an A? (Assume that the maximum possible score on each test is .)
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