A group of five students averaged 85 points on an exam taken out of 100 total points. If the addition of two additional students raises the group average to 88 points, what is the minimum score that one of those two students can receive? Assume that 100 is the highest score for the exam.
Show Hint
- 93
- 100
- None of the other answers
- 95.5
- 91
The Correct Option is
Solution and Explanation
Average = 85, Number of students = 5.
So, Total = \(85 \times 5 = 425\).
Step 2: Calculate the total score of 7 students after new average.
Average = 88, Number of students = 7.
So, Total = \(88 \times 7 = 616\).
Step 3: Calculate the combined contribution of 2 new students.
\(616 - 425 = 191\).
Step 4: Minimize one score by maximizing the other.
If one student scores 100 (maximum), the other scores \(191 - 100 = 91\).
Final Answer: \[ \boxed{91} \]
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