To receive a C grade, a student must average more than 77 but less than or equal to 85. If Claire received a C in the course and had five grades of 74, 85, 75, 65, and 83 before taking the final exam, what were the possible grades for her final if there were 100 points possible? (Assume all six grades are weighted equally and let x represent the unknown score.)

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To receive a C grade, a student must average more than 77 but less than or equal to 85. If Claire received a C in the course and had five grades of 74, 85, 75, 65, and 83 before taking the final exam, what were the possible grades for her final if there were 100 points possible? (Assume all six grades are weighted equally and let x represent the unknown score.)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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