The number of girls to the number of boys in Primary 2 Love was 1 : 4. The number of girls to the number of boys in Primary 2 Patience was 2 : 5. Both classes had the same number of girls. When 32 boys from Primary 2 Love joined Primary 2 Patience, the ratio of the number of girls to the number of boys in Primary 2 Love became 1 : 2. Find the total enrolment of both classes.

Primary 2 Love		Primary 2 Patience
Girls	Boys	Girls	Boys
1x2	4x2	2x1	5x1
1x2		1x2
2 u	8 u	2 u	5 u

The number of girls in both classes is the same.  Make the number of girls the same.  LCM of 1 and 2 is 2.

	Primary 2 Love		Primary 2 Patience
	Girls	Boys	Girls	Boys
Before	2 u	8 u	2 u	5 u
Change		- 32		+ 32
After	1x2 = 2 u	2x2 = 4 u	2 u	5 u + 32

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

Number of boys from Primary 2 Love that joined Primary 2 Patience
= 8 u - 4 u
= 4 u

4 u = 32

1 u = 32 ÷ 4 = 8

Total enrolment of both classes
= 2 u + 8 u + 2 u + 5 u
= 17 u
= 17 x 8
= 136

Answer(s): 136