a test is worth 50% of my grade. a get a 80% on the test. my grade rn is 54%. what's my grade after the test?

Answer 1

To calculate your new grade after the test, you can use the weighted average formula based on the percentages involved.

1. Your current grade is 54%, which is worth 50% of your final grade since the test is worth the other 50%.
2. You scored 80% on the test, which is also worth 50% of your final grade.

Using the formula for calculating the new grade:

\[ \text{New Grade} = (\text{Current Grade} \times \text{Weight of Current Grade}) + (\text{Test Score} \times \text{Weight of Test Score}) \]

Substituting the values:

\[ \text{New Grade} = (54% \times 0.5) + (80% \times 0.5) \]

Calculating each part:

1. \(54% \times 0.5 = 27%\)
2. \(80% \times 0.5 = 40%\)

Now, add these two results together:

\[ \text{New Grade} = 27% + 40% = 67% \]

So, your grade after the test will be 67%.