SOLUTION: Professor Williams gives only a midterm exam and a final exam. The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score. To get

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Question 164833: Professor Williams gives only a midterm exam and a final exam. The semester average 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
semester average 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?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
G-Stacy's grade
M-Midterm
F-Final
.
.
.
%281%2F3%29%2AM%2B%282%2F3%29F=G
.
.
.
To get a C, she needs at minimum G=70.
%281%2F3%29%2A48%2B%282%2F3%29F=70
16%2B%282%2F3%29F=70
%282%2F3%29F=54
F=54%283%2F2%29
F=27%283%29
F=81
For the uppper end of the scale, G=79.
%281%2F3%29%2A48%2B%282%2F3%29F=79
16%2B%282%2F3%29F=79
%282%2F3%29F=63
F=63%283%2F2%29
F=94.5
A grade ranging from 81 to 94.5 on the Final will give Stacy her C.