To find the percent increase in Jack's score from the first test to the make-up test, we first need to determine his scores and then calculate the percent increase.
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Calculate the scores out of 100:
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For the first test: \[ \text{Score}_1 = \left( \frac{10}{20} \right) \times 100 = 50% \]
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For the make-up test: \[ \text{Score}_2 = \left( \frac{20}{25} \right) \times 100 = 80% \]
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Calculate the increase in score: \[ \text{Increase} = \text{Score}_2 - \text{Score}_1 = 80% - 50% = 30% \]
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Calculate the percent increase: To find the percent increase, we divide the increase by the original score and multiply by 100: \[ \text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Score}_1} \right) \times 100 = \left( \frac{30}{50} \right) \times 100 = 60% \]
Thus, the percent of increase in Jack's score is approximately 60%.