Solve the problem.
-Allan's 4 quiz scores in his math class are 89, 92, 86, and 84. What score does he need to obtain on his exam to average an 85 if an exam counts as much as two quizzes?
A) 73
B) 74
C) 66
D) 79.5

Question

Quizplus · Accepted Answer

To average an 85, the total points Allan needs is:

(89 + 92 + 86 + 84) + Exam Score = Total Points

Since an exam counts as much as two quizzes, the total number of quizzes is now 6:

(89 + 92 + 86 + 84) + 2(Exam Score) = Total Points

Simplifying the equation:

351 + 2(Exam Score) = Total Points
351 + 2(Exam Score) = 6 (average score)
351 + 2(Exam Score) = 510 (total points needed for an 85 average)
2(Exam Score) = 159
Exam Score = 79.5

Therefore, Allan needs to score a 79.5 or higher on his exam to maintain an 85 average. The answer is D.

Solve the Problem. -Allan's 4 Quiz Scores in His Math Class Are 89