SOLUTION: Professor Counts his midterms as 2/3 of the grade and his final as 1/3of the grade. If Wendy scored 48 on the midterm, What range of scores on the final exam would put Wendy’s aver

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Professor Counts his midterms as 2/3 of the grade and his final as 1/3of the grade. If Wendy scored 48 on the midterm, What range of scores on the final exam would put Wendy’s aver      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 165327: Professor Counts his midterms as 2/3 of the grade and his final as 1/3of the grade. If Wendy scored 48 on the midterm, What range of scores on the final exam would put Wendy’s average between 70-79 inclusive?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Professor Counts his midterms as 2/3 of the grade and his final as 1/3 of the
grade. If Wendy scored 48 on the midterm, What range of scores on the final
exam would put Wendy’s average between 70-79 inclusive?
:
Let x = score for this to happen
:
Since the midterm grade counts twice as much as the final, write an equation thus:
%2848+%2B+48+%2B+x%29%2F3 => 70
%2896+%2B+x%29%2F3 => 70
Multiply equation by 3:
96 + x = 3(70)
x = 210 - 96
x => 114
:
Do the same with the upper value
%2848+%2B+48+%2B+x%29%2F3 =< 79
:
If they don't give grades higher than a hundred, Wendy is in trouble