Barbara had some grey stickers and pink stickers in 2 bags. In Bag G, the ratio of the number of grey stickers to pink stickers was 9 : 5. In Bag H, the number of grey stickers was 2 times the number of pink stickers. Barbara transferred ⁴₅ of the pink stickers from Bag G to Bag H. The number of stickers in Bag G became 60 and the ratio of the number of grey stickers to pink stickers in Bag H became 4 : 5.

1. How many pink stickers were transferred from Bag G to Bag H?
2. What was the number of stickers in Bag H after the transfer?

	Bag G		Bag H
	Grey	Pink	Grey	Pink
Comparing grey stickers and pink stickers at first	9 u	5 u	2x2 = 4 p	1x2 = 2 p
Before		5 u
Change		- 4 u		+ 4 u
After		1 u
Comparing grey stickers and pink stickers in the end	9 u	1 u	4 p	5 p

(a)
Total number of stickers in the end for Bag G
= 9 u + 1 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Number of pink stickers that were transferred from Bag G to Bag H
= 4 u
= 4 x 6
= 24

(b)
The number of grey stickers in Bag H remains unchanged.  Make the number of grey stickers in Bag H the same.  LCM of 2 and 4 is 4. 

Increase in the number of pink stickers in Bag H
= 5 p - 2 p
= 3 p

3 p = 4 u
3 p = 24

1 p = 24 ÷ 3 = 8

Number of stickers in Bag H in the end
= 4 p + 5 p
= 9 p
= 9 x 8
= 72

Answer(s): (a) 24; (b) 72