Question

Jack took a test and got 13/17. He took a retest and got 12/15.

Jack's grade
.

Answer 1

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.

1. **Original Test:**
- Points earned: 13
- Total points: 17

2. **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).