Question

In a class, if 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of the overall class is girls?

Explanatory Answer

For questions of this type, it is best to go from the final step. In the final state, the number of girls should be 1.5 * the number of boys.

When 50% of the boys are taken as girls, let the number of boys = x
Number of girls = 1.5x
total number of students = 2.5x

Original number of boys = 2x (50% of boys = x)
Original number of girls = 0.5x

Girls form 20% of the overall class.