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Is 87 a c or b?

Updated: 10/17/2024
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An 87% is a B

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Q: Is 87 a c or b?
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The average score on 4 tests is 85.5 the average of the three highest scores is 87 and her two lowest scores are the same number. what is the average of her two highest scores?

Let's take our four tests and call them A, B, C and D, in order from worst to best. We're told: (A + B + C + D) / 4 = 85.5 (B + C + D) / 3 = 87 A = B We can say then: (2B + C + D) / 4 = 85.5 Or: B/2 + C/4 + D/4 = 85.5 And: B / 3 + C / 3 + D / 3 = 87 Or: B/2 + C/2 + D/2 = 3(87 / 2) Now we can combine those two equations to eliminate B. We'll subtract the terms of the first one from the terms of the second one: (B/2 - B/2) + (C/2 - C/4) + (D/2 - D/4) = 3(87 / 2) - 85.5 (2C - C) / 4 + (2D - D) / 4 = 45 (C + D) / 4 = 45 (C + D) / 2 = 90 So the average of the two best tests is 90%


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