Answer :

To determine how many points are needed to obtain a score of 85% on a test that is worth 125 points, follow these steps:

1. Understand the Problem:
- The total points available on the test are 125.
- The target percentage score is 85%.

2. Convert the Percentage to a Decimal:
- To convert a percentage to a decimal, divide by 100.
- 85% as a decimal is [tex]\( \frac{85}{100} = 0.85 \)[/tex].

3. Calculate the Points Corresponding to the Target Percentage:
- Multiply the total points by the decimal form of the percentage.
- [tex]\( 125 \times 0.85 = 106.25 \)[/tex].

4. Round to the Nearest Whole Number:
- Since points are typically given as whole numbers, round 106.25 to the nearest whole number.
- 106.25 rounds to 106.

Therefore, you need 106 points to obtain a score of 85% on the test.