Your averages and values are the following: Test average = 85
Homework = 90
Participation = 95
What grade do you need on the final exam to earn a final grade average of at least 87 in
each grading system:

You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.

Step-by-step explanation:

(85 + 90 + 95 + x)÷ 4 =87

Simplify:

(270 + x) ÷ 4 = 87

Rearrange:

(x + 270) ÷ 4 = 87

Multiply terms to Reduce:

4((x + 270) ÷ 4) = 4 * 87

Cancel Multiplied terms in Denominator:

x + 270 = 4 * 87

Multiply:

x + 270 = 348

Subtract 270 on both sides of the equation:

x + 270 - 270 = 348 - 270

Simplify:

x = 78