This problem requires calculating the percentage increase needed for the number of girls to become equal to the number of boys in a class.
To find the percentage increase, we first determine the difference in numbers and then calculate this difference as a percentage of the original number of girls.
Calculate the difference between the number of boys and girls:
Difference = Number of boys - Number of girls
Difference = 36 - 24 = 12
This means 12 more girls are needed.
Calculate the percentage increase required:
The formula for percentage increase is:
Percentage Increase = \( \frac{\text{Required Increase}}{\text{Original Number of Girls}} \times 100\% \)
Substitute the values:
Percentage Increase = \( \frac{12}{24} \times 100\% \)
Simplify the fraction:
Percentage Increase = \( \frac{1}{2} \times 100\% \)
Calculate the final percentage:
Percentage Increase = 50%
Therefore, the number of girls must be increased by 50% to equal the number of boys.
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