The final exam of a particular class makes up 40% of the final grade, and moe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam. what grade does moe need on his final exam in order to receive the passing grade average of 60% for the class?

%82.5

Step-by-step explanation:

From point 1 we know that Moe´s grade just before taking the final exam represents 60% of the final grade. Then, using the information in the point 2 we can compute Moe´s final grade as follows:

,

where FG is Moe´s Final Grade and FE is Moe´s final exam grade. Then,

.

So, in order to receive the passing grade average of 60% for the class Moe needs to obtain in his exam:

That is, he need al least %82.5 to obtain a passing grade.