Jade had some white stamps and green stamps in 2 packets. In Packet A, the ratio of the number of white stamps to green stamps was 10 : 3. In Packet B, the number of white stamps was 2 times the number of green stamps. Jade transferred ²₃ of the green stamps from Packet A to Packet B. The number of stamps in Packet A became 165 and the ratio of the number of white stamps to green stamps in Packet B became 4 : 5.

1. How many green stamps were transferred from Packet A to Packet B?
2. What was the number of stamps in Packet B after the transfer?

	Packet A		Packet B
	White	Green	White	Green
Comparing white stamps and green stamps at first	10 u	3 u	2x2 = 4 p	1x2 = 2 p
Before		3 u
Change		- 2 u		+ 2 u
After		1 u
Comparing white stamps and green stamps in the end	10 u	1 u	4 p	5 p

(a)
Total number of stamps in the end for Packet A
= 10 u + 1 u
= 11 u

11 u = 165

1 u = 165 ÷ 11 = 15

Number of green stamps that were transferred from Packet A to Packet B
= 2 u
= 2 x 15
= 30

(b)
The number of white stamps in Packet B remains unchanged.  Make the number of white stamps in Packet B the same.  LCM of 2 and 4 is 4. 

Increase in the number of green stamps in Packet B
= 5 p - 2 p
= 3 p

3 p = 2 u
3 p = 30

1 p = 30 ÷ 3 = 10

Number of stamps in Packet B in the end
= 4 p + 5 p
= 9 p
= 9 x 10
= 90

Answer(s): (a) 30; (b) 90