SOLUTION: Different weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on th

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Question 185058: Different weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put Wendy�s average between 70 and 79 inclusive? Compare to the previous exercise which is (Going for a C.) Prof gives only a midterm and final. The semester avg is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score, to get a C Stacy must have a sem avg between 70 and 79 inclusive. If Stacy scored only 48 on the midterm then for what range of scores on the final exam will Stacy get a C?
I cannot understand thie word problem at all ... can anyone help shed some light on the subject for me? Thanks so much for your help
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

If m is the mid-term score and f is the score on the final exam, then Professor Williamson will give a final grade, g, of:

But we are given that m = 48 and the minimum g we are looking for is 70, then:

Just solve for f to get the lowest score that will put you in the stated range, then:

Solve for f again to get the highest score that will keep the final grade in the stated range.

I think you will find that, unless the good Professor gives a final with more than 100 as a possible score, you can't get there from here. If the maximum possible score on the final is 100, the best Wendy can do is a 65.33 -- and the moral of the story is study hard; study early.

If you are also asking about the previous problem, the equations are the same if you reverse the fractional coefficients.

John