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Juan scored 5 points higher on his midterm and 13 points higher on his final than he did on his first exam. If his mean score was 90 what was his score on the first exam?
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∙ 14y ago
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∙ 14y ago
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Juan scored 5 points higher on his midterm and 13 points higher on his final than he did on his first exam If his mean average score was 90 what was his score on the first exam?
---- ASSUMPTIONS: First Exam = X Midterm Exam = X + 5 Final Exam = X + 13 Mean Average Score for the 3 exams above = 90 ---- SOLUTION: 90 = [X + (X + 5) + (X + 13)] / 3 90 * 3 = [X + (X + 5) + (X + 13)] 270 = 3X + 18 270 - 18 = 3X 252 = 3X 252 / 3 = X 84 = X Conclusion: Juan scored 84 points on his first exam. (See below for proof) ---- PROOF: First Exam = X = 84 Midterm Exam = X + 5 = 89 Final Exam = X + 13 = 97 Mean Average of 90 points --> [84 + 89 + 97] / 3 = 270 / 3 = 90
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