Question

Denniel chooses to never do homework. If he gets a 70 as his final grade for the class, and he knows that he did equally well on classwork and exams, what was his classwork average?

Grading System:
Tests: 40% of the grade
Classwork: 40% of the grade
Homework: 20% of the grade

Answer 1

Explanation:

Let's start by finding out what Denniel's weighted average grade is, given the grading system:

Tests: 40% of 70 = 0.4 x 70 = 28

Classwork: ? (we don't know this yet)

Homework: 0 (since he never does homework)

Weighted average grade: 0.4 x 28 + 0.4 x ? + 0.2 x 0 = 0.4 x ?

We know that his overall weighted average grade is 70, so we can set up an equation to solve for his classwork average:

0.4 x ? = 70 - 0.4 x 28 - 0.2 x 0

0.4 x ? = 42

? = 42 / 0.4

? = 105

So Denniel's classwork average is 105.