Question 145395
Professor Williamson counts his midterms as 2/3 of the grade and his final as 1/3. Wendy scored only a 48 on the midterm. What range of score on the final would put Wendy's average between 70 and 79 inclusive? 
:
Let x = final grade (which counts 1/3 of the grade)
:
{{{(48 + 48 + x)/3}}} = 70
:
96 + x = 3(70)
:
x = 210 - 96
:
x = 114 to get an av grade of 70
:
and
:
{{{(48 + 48 + x)/3}}} = 79
:
96 + x = 3(79)
:
x = 237 - 96
:
x = 141 to get an av grade of 79
:
The range would be 114 to 141