Solve the problem.
-Michael scored 67, 86, and 92 on three algebra tests. What must he score on the fourth test in order to have an average grade of at least 85?
A) 82
B) 95
C) 29
D) 61

Question

Quizplus · Accepted Answer

To find out what Michael needs to score on the fourth test, we can set up an equation:

(67 + 86 + 92 + x)/4 ≥ 85

Simplifying this equation, we get:

(245 + x)/4 ≥ 85

Multiplying both sides by 4, we get:

245 + x ≥ 340

Subtracting 245 from both sides, we get:

x ≥ 95

Therefore, Michael must score at least 95 on the fourth test to have an average grade of at least 85. To have an average grade of at least 85, the sum of all four test scores must be at least (85 x 4) = 340. Michael's current total score is (67 + 86 + 92) = 245. Therefore, he must score at least (340 - 245) = 95 on the fourth test. So, the answer is choice (B).

Solve the Problem. -Michael Scored 67, 86, and 92 on Three Algebra Tests