SOLUTION: Going into the final exam,which will count as two-thirds of the final grade,Mike has test scores of 86,80,84,and 90.What score does Mike need on the final in order to earn a B,whic

Question 1207382: Going into the final exam,which will count as two-thirds of the final grade,Mike has test scores of 86,80,84,and 90.What score does Mike need on the final in order to earn a B,which requires an average score of 80? What does he need to earn an A,which requires an average of 90?

Let me see.

Let x = grade needed on final exam to earn a B.

(86 + 80 + 84 + 90 + x)/5 = 80

Let y = grade needed on final exam to earn an A.

(86 + 80 + 84 + 90 + y)/5 = 90

Is this correct?
Found 4 solutions by josgarithmetic, ikleyn, greenestamps, mccravyedwin:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
--misread parts of description--

response removed
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

This is incorrect.

The "solution"/(suggestion) in the post by @josgarithmetic is incorrect, too.

The problem requires an accurate interpretation.

Such an interpretation and the correct solutions were given to this problem
in this forum many years ago. See the links

https://www.algebra.com/algebra/homework/Average/Average.faq.question.209752.html

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.567475.html

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

WOW! A final exam counting for 2/3 of the grade for the course? Scary....

The average of his four test scores is

To get a B, his overall average has to be 80. That is 5 points below the average of his test scores. The final exam counts for 2/3 of the total grade, which means it counts for twice as much as his current test average. So his score on the final exam has to be 5/2 = 2.5 points below 80 -- i.e., 77.5.

ANSWER #1: to get a B (average of 80), his score on the final exam needs to be 77.5

Similarly, to get an A in the course he needs an average of 90; his current test score average is 5 points below 90, so his score on the final exam needs to be 5/2 = 2.5 points above 90.

ANSWER #2: to get a A (average of 90), his score on the final exam needs to be 92.5

Answer by mccravyedwin(406)   (Show Source): You can put this solution on YOUR website!
Going into the final exam,which will count as two-thirds of the final grade,
Mike has test scores of 86,80,84,and 90.What score does Mike need on the final
in order to earn a B,which requires an average score of 80? What does he need to
earn an A,which requires an average of 90?

For the final exam to count 2/3, to figure his score for the course, Mike must add his final exam grade 2 times and his test average only 1 time and divide by 3. Let his required final exam grade be x His test average is His score for the course = to get a B to get an A Edwin

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