SOLUTION: Professor 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 Jas

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Question 134393: Professor 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?
Answer by ankor@dixie-net.com(12704) (Show Source):
You can put this solution on YOUR website!
Professor 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?
:
You can do it this way:
:
Lower limit equation
=> 70
128 + x => 210; multiplied eq by 3
:
x => 210 - 128
x => 82 is the lowest grade he can have.
:
Upper limit equation
=< 79
128 + x =< 237; multiplied eq by 3
:
x =< 237 - 128
x =< 109 is not a possible score.
:
We can say that scores of 82 to 100 will place him in this range