The number of boys in a school was 30 more than the number of girls. Subsequently, a few more girls joined the

Question

The number of boys in a school was 30 more than the number of girls. Subsequently, a few more girls joined the same school. Consequently, the ratio of boys and girls became 3:5. Find the minimum number of girls, who joined subsequently.

Assume that there was at least one girl at the start.

Accepted Answer

52. Let the number of girls in the school be G. => Number of boys = G+30. Some girls joined the class and the number of boys and girls became 3:5. Let the number of girls who joined the class be 'X'. It has been given that (G+30)/(G+X) = 3/5 5G + 150 = 3G + 3X 2G + 150 = 3X => X = (2G/3) + 50. 2G