Official Solution:
At the end of the term, a student has to take three tests. The maximum score on each test is 200. The student scored 40 on test 1 and 54 on test 2. How much will the student have to score on test 3 so that his average (arithmetic mean) performance for the three tests would be 30%?
A. 56 points
B. 64 points
C. 72 points
D. 81 points
E. 86 points
Let \(x\) be the required score on test 3. The average performance across the three tests is calculated by dividing the sum of the scores by the total possible score, represented as \(\frac{40 + 54 + x}{600}\). To determine \(x\), solve the equation: \(\frac{40 + 54 + x}{600} = 0.3\). Solving yields \(x = 86\).
Answer: E