SOLUTION: The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of t he final exam score. To get a C, Stacy must have a semester average between 70 and 79 inclus

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of t he final exam score. To get a C, Stacy must have a semester average between 70 and 79 inclus      Log On


   

Question 241138: The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of t he 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
:
Let x = final exam score
Since it counts twice as much as the midterm, write
%2848+%2B+2x%29%2F3 > 70
48 + 2x > 3(70)
48 + 2x > 210
2x > 210 - 48
2x > 162
x > 162%2F2
x > 81 to get an over 70 average
:
You can find the upper limit the same way; just solve
%2848+%2B+2x%29%2F3 < 79