To find Jack's overall grade, we first need to calculate the total points he earned and the total points possible from both the original test and the retest.
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Original Test:
- Points earned: 13
- Total points: 17
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Retest:
- Points earned: 12
- Total points: 15
Next, we sum the points earned and the total points:
Total Points Earned: \[ 13 + 12 = 25 \]
Total Points Possible: \[ 17 + 15 = 32 \]
Now, we can calculate Jack's overall grade by dividing the total points earned by the total points possible and converting it to a percentage:
\[ \text{Overall Grade} = \left( \frac{25}{32} \right) \times 100 \]
Calculating this:
\[ \frac{25}{32} \approx 0.78125 \] \[ 0.78125 \times 100 \approx 78.125% \]
Therefore, Jack's overall grade is approximately 78.13% (rounded to two decimal places).