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
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):
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.
