Problema Solution
a student scores 75, 86, and 72 on three 100-point exams. if the final is worth 150 points, find the range of final exam scores that will give the student an overall percentage of 80% or higher.
Answer provided by our tutors
There are a total of 450 points possible in the course (100 + 100 + 100 + 150 = 450)
80% of 450 is: 0.80*450 = 360 points
You have achieved 75 + 86 + 72 = 233 points already.
You have to get at least 360 - 233 = 127 points of the 150 point final.
Lets find the % x of 150 that you have to score:
150x = 127
by solving we find:
x=0.8467 or 84.67%
click here to see the step by step calculation:
You have to score an 84.67% on the final to get a score of 80 or higher in the course.
So the range of final exam scores is [84.67, 100].