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Ellen has three exam scores 82, 74, and 90. What score on her next exam will give her an average of 85 over the four exams?

A94
B85
C90
D88
Answer & Solution
Correct answer: A. 94
Let $x$ be the next score. The average condition is $(82 + 74 + 90 + x)/4 = 85$. The numerator simplifies to $246 + x$, so $246 + x = 340$, giving $x = 94$. Substituting back, the four scores total 340 and divide by 4 to give 85.
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