Question

EHOVE computes semester grades as follows: 1st quarter grade = 40%, 2nd quarter grade = 40%, and exam grade = 20%.  Elliott's grades are as follows:  1st quarter = 65%, 2nd quarter = 80%, and exam = 85%.  What is Elliott's semester grade?  Write your answer as a percent (no decimals)

Answer 1

We have a semester grade that is calculated as a weighted average.

We will use decimals to calculate the weighted average and then convert the result into percentage.

We will multiply each weight (0.4 for the 1st quarter grade, for example) by the Elliot's grades (0.65 for the 1st quarter, for example).

If we do this for each component, we get:

$\begin{gathered} G=0.4\cdot0.65+0.4\cdot0.8+0.2\cdot0.85 \\ G=0.26+0.32+0.17 \\ G=0.75 \end{gathered}$

Elliot's grades for the semester is 0.75 or 75%.

Answer: 75%.