Question

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 points 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

Answer 1

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%

x / 55 = 96%

x = 55 x 0.96

x = 52.8

x = 53

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