The number of girls to the number of boys in Primary 2 Gentleness was 1 : 4. The number of girls to the number of boys in Primary 2 Peace was 3 : 5. Both classes had the same number of girls. When 24 boys from Primary 2 Gentleness joined Primary 2 Peace, the ratio of the number of girls to the number of boys in Primary 2 Gentleness became 1 : 2. Find the total enrolment of both classes.

Primary 2 Gentleness		Primary 2 Peace
Girls	Boys	Girls	Boys
1x3	4x3	3x1	5x1
1x3		1x3
3 u	12 u	3 u	5 u

The number of girls in both classes is the same.  Make the number of girls the same.  LCM of 1 and 3 is 3.

	Primary 2 Gentleness		Primary 2 Peace
	Girls	Boys	Girls	Boys
Before	3 u	12 u	3 u	5 u
Change		- 24		+ 24
After	1x3 = 3 u	2x3 = 6 u	3 u	5 u + 24

The number of girls in Primary 2 Gentleness remains unchanged.  Make the number of girls in Primary 2 the same.  LCM of 3 and 1 is 3.

Number of boys from Primary 2 Gentleness that joined Primary 2 Peace
= 12 u - 6 u
= 6 u

6 u = 24

1 u = 24 ÷ 6 = 4

Total enrolment of both classes
= 3 u + 12 u + 3 u + 5 u
= 23 u
= 23 x 4
= 92

Answer(s): 92