Sure! Let's work through a problem step by step.
Problem:
A student scores 75 points on their first test. After studying hard, they take a second test and score 88 points. What is the increase in the student's score from the first test to the second test? Also, what percentage increase did the student achieve?
Solution:
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Calculate the increase in score:
To find the increase in score, subtract the first score from the second score: \[ \text{Increase} = \text{Score on second test} - \text{Score on first test} \] \[ \text{Increase} = 88 - 75 = 13 \text{ points} \]
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Calculate the percentage increase:
To find the percentage increase, you can use the formula: \[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Score}} \right) \times 100 \] Here, the original score is the score on the first test (75 points).
Substitute the values into the formula: \[ \text{Percentage Increase} = \left( \frac{13}{75} \right) \times 100 \] \[ \text{Percentage Increase} \approx 17.33% \]
So, the student's score increased by 13 points, and the percentage increase in their score is approximately 17.33%.
By following these steps, you can approach similar problems where you need to analyze changes in scores or values! Let me know if you have more questions or need additional examples!