Question 415477: The formula A = 3Ts+Qz/3T+Q gives a student's average, A, after T tests and Quizzes, where each test counts as 3 quizzes, where s is the test average and Z the quiz average. Solve for Q.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The formula A = (3Ts+Qz)/(3T+Q) gives a student's average, A, after T tests and Quizzes, where each test counts as 3 quizzes, where s is the test average and Z the quiz average. Solve for Q.
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A = (3Ts+Qz)/(3T+Q)
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A(3T+Q) = 3Ts+Qz
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3AT + AQ = 3Ts + Qz
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AQ-Qz = 3Ts-3AT
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Q(A-z) = (3Ts-3AT)
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Q = (3Ts-3AT)/(A-z)
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Cheers,
Stan H.
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