AlgebraHardLeast third score for a target average
Algebra practice question
A student's first two test scores are 70 and 85. What is the least score on a third test that would make the average of the three scores at least 80?
Answer: 85
(70 + 85 + x)/3 ≥ 80 gives 155 + x ≥ 240, so x ≥ 85.
Common wrong answers
- If you answered 75
- 75 is the average of the first two, not the required third score.
- If you answered 80
- 80 gives an average of 78.3.
- If you answered 95
- 95 is more than needed.
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