Question 95708
Two tests only. Prof. Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive? 
-----------------------
Let the final grade need be "x"
INEQUALITY:
70 <= (2/3)64+(1/3)x <= 79

Subtract (2/3)64 = 128/3 along the line to get:
82/3 <= (1/3)x <= 109/3

Multiply thru by 3 to get:
82 <= x <= 109

==================
Cheers,
Stan H.