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On two​ examinations, you have grades of 83 and 89. there is an optional final​ examination, which counts as one grade. you decide to take the final in order to get a course grade of​ a, meaning a final average of at least 90

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mathstudent55
Let's say you get x on the third examination.
The average of all three examinations must be at least 90 to get an A.

[tex] \dfrac{x + 83 + 89}{3} \ge 90 [/tex]

[tex] x + 172 \ge 270 [/tex]

[tex] x \ge 98 [/tex]

In order to get an A, you must get at least a 98 on the third examination.

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