Multiple choice

In a classroom, the average score of five students in a test is 70. If the highest score among them is added to their total score, the new average becomes 75. What is the score of the student with the highest score?

  1. 95

  2. 100

  3. 105

  4. 110
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial total score for 5 students is 5 * 70 = 350. With the highest score added, there are now 6 scores (or the total sum increases), but the problem implies the new average is for the original 5 students plus the highest score, making 6 items. Total sum = 6 * 75 = 450. The highest score is 450 - 350 = 100.

AI explanation

Using the basic average formula, the total score of the five students is 5 multiplied by 70, yielding 350. The new average applies to six values (the five students plus the highest score), so the new total is 6 multiplied by 75, yielding 450. The difference between the new total and the old total represents the highest score, so 450 minus 350 equals 100.

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