To earn an A in a course, you must have a final average of at least 90%. On the first four examinations, you have grades of 86%, 88%, 92%, and 84%.

Question

If the final examination counts as two grades, what must you get on the final to earn an A in the course?

Answer 1

Hello, thank you for taking the time to post your question!

The key on this type of question is to take the underlying information and set up an expression that we can solve. In this case if we let “x” represent the score on the final exam, we can set up an inequality to solve

(86 + 88 + 92 + 84 + 2x)/6 >= 90

350 + 2x >= 540

2x >= 190

x >= 95

meaning that you need to earn a score of 95% or higher in order to earn an “A” in the course

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Let x = the grade on final exam

86+88+92+84+2x ≥ 90

             6                                   Multiply both sides of the equation by 6

350+2x ≥ 540

        2x ≥190

          x ≥ 95%