In January, Emma and Lee had stickers in the ratio 6 : 5. In February, each of them gave away the same number of stickers. Emma then had five times as many stickers as Lee.

1. Find the ratio of the number of stickers Lee had in January to the number of stickers he had in February.
2. Find the ratio of the total number of stickers both had in January to the total number of stickers both had in February.

	Emma	Lee	Difference
Before	6x4 = 24 u	5x4 = 20 u	1x4 = 4 u
Change	- 19 u	- 19 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

(a)
Since Emma and Lee gave away the same number of stickers, the difference in the number of stickers between Emma and Lee at first and in the end remains the same.

Make the difference in the number of stickers at first and in the end the same. LCM of 1 and 4 is 4.

Lee's stickers in January : Lee's stickers in February
20 : 1

(b)
Total number of stickers in January
= 24 u + 20 u
= 44 u

Total number of stickers in February
= 5 u + 1 u
= 6 u

Total stickers in January : Total stickers in February
44 : 6 _(÷2)
22 : 3 

Answer(s): (a) 20 : 1; (b) 22 : 3