Jared has an average of 86% in his math class before the final exam. The final exam is 20% of his total grade. There are 55 poin
ts possible on the final exam and partial points are not given. If Jared wants to get an average of at least 88% in the class, what is the least number of points he needs to earn on the final exam
The least number of points Jared needs to score is 53.
Jared already has an average of 86%. He want to have an overall average of 88. His exam is worth 20% of the total grade. This information can be modelled as:
(0.8 x 86%) + (0.2 x a) = 88%
a = score in the exam.
68.8 + 0.2a = 88%
Combine similar terms
0.2a = 88 - 68.8
0.2a = 19.2
a = 19.2 / 0.2
a = 96%
Jared has to score 96% on the exam.
The second step is to determine which score would give 96%
