Multiple choice

At the end of the first year, student enrollment at a certain college was 25 percent higher than at the beginning of the year. At the end of the second year, enrollment was 50 percent higher than at the beginning of the first year. What was the percent increase in enrollment from the end of the first year to the end of the second year?

  1. 15%

  2. 18%

  3. 20%

  4. 25%

  5. 30%
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C Correct answer
Explanation

Let initial enrollment be 100. End of year 1 = 125. End of year 2 = 150 (50% higher than beginning of year 1). Increase from end of year 1 to end of year 2 = (150-125)/125 = 25/125 = 20%.

AI explanation

Let the initial enrollment be 100, making the enrollment at the end of the first year 125. The enrollment at the end of the second year is 50% higher than the initial enrollment, making it 150. The percent increase from the end of the first year to the end of the second year is calculated as ((150 - 125) / 125) * 100, which equals 20%. The result is 20%.

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