SOLUTION: Absolute Value Equations and Inequalities Professor Davis counts his midterm as 2/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam wo

Question 134462: Absolute Value Equations and Inequalities
Professor Davis counts his midterm as 2/3 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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
Professor Davis counts his midterm as 2/3 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?
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If midterm is 2/3 of the grade, final must be 1/3 of grade
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Let the final exam grade be "x".
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INEQUALITY:
70 <= (2/3)*64 + (1/3)x <= 79
70-(2/3)*64 <= (1/3)x <= 79 -(2/3)*64
Multiply thru by 3 to get:
210-128 < x < 237 - 128
82 < x < 109
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Cheers,
Stan H.
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