PSLE
The number of boys and girls in a tuck shop were in the ratio 1 : 3. After 7.5 boys entered the tuck shop and half the number of girls left the tuck shop, the ratio of the number of boys to girls became 1 : 1. How many children were there in the tuck shop at first?

	boys	girls	Total
Before	1 u	3 u	4 u
Change	+ 7.5	- 1.5 u
After	1 u + 7.5	1.5 u

Number of girls who left the tuck shop
= 3 u ÷ 2
= 1.5 u

Number of boys in the end = 1 u + 7.5
Number of girls in the end = 1.5 u

Since the ratio of the number of boys to girls in the end is 1 : 1, the number of boys and girls in the end is equal.

1.5 u = 1 u + 7.5
1.5 u - 1 u = 7.5
0.5 u = 7.5

1 u = 7.5 ÷ 0.5 = 15

Total number of children in the tuck shop at first
= 1 u + 3 u
= 4 u
= 4 x 15
= 60

Answer(s): 60