SOLUTION: Professor W. counts his midterm as 2/3 of the grade and the final as 1/3 of the grade. Wendy scored a 48 on the midterm. What range of scores does she need to earn on the final t

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Question 53324This question is from textbook Elementary and Intermediate Algebra
: Professor W. counts his midterm as 2/3 of the grade and the final as 1/3 of the grade. Wendy scored a 48 on the midterm. What range of scores does she need to earn on the final to give Wendy an average between 70 and 79? This question is from textbook Elementary and Intermediate Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I hope this isn't a real life example!
Let the final equal: x
The grade is found by 2/3*midterm+1/3*final.
She got a 48 on the midterm.
She wants a score between 70 and 79.
70%3C%282%2F3%29%2A48%2B%281%2F3%29%2Ax%3C79
70%3C96%2F3%2Bx%2F3%3C79
70%3C32%2Bx%2F3%3C79
-32%2B70%3C-32%2B32%2Bx%2F3%3C-32%2B79
38%3Cx%2F3%3C47
3%2A38%3C%283%2Ax%29%2F3%3C3%2A47
114%3Cx%3C141
Ask yourself if this seems reasonable. 2/3's of her grade was a 48. It does seam unlikely that she can bring her grade up at least 22 points with only 1/3 of a grade left.
Wendy is going to need a lot of bonus points!