To earn a B in your Algebra class, you must achieve an unrounded test average between 84 and 86 (inconclusive). You scored 86,85, and 80 on the first three tests of the grading period. What possible scores can you earn on the fourth and final test to earn a B in the course?

Question

To earn a B in your Algebra class, you must achieve an unrounded test average between 84 and 86 (inconclusive). You scored 86,85, and 80 on the first three tests of the grading  period. What possible scores can you earn on the fourth and final test to earn a B in the course?

Reiny · Accepted Answer

so far you have a total of 251

lowest mark needed:
(251+x)/4 >84
251+x > 336
x > 85

highest mark needed:
(251+x)/4 < 86
251+x < 344
x < 93

possible scores are 86, 87, 88, 89, 90, 91, and 92

Question: why would you NOT want a score highter than 86 ?