In April, Emily and Bryan had stickers in the ratio 2 : 1. In May, each of them gave away the same number of stickers. Emily then had five times as many stickers as Bryan.

1. Find the ratio of the number of stickers Bryan had in April to the number of stickers he had in May.
2. Find the ratio of the total number of stickers both had in April to the total number of stickers both had in May.

	Emily	Bryan	Difference
Before	2x4 = 8 u	1x4 = 4 u	1x4 = 4 u
Change	- 3 u	- 3 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

(a)
Since Emily and Bryan gave away the same number of stickers, the difference in the number of stickers between Emily and Bryan 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.

Bryan's stickers in April : Bryan's stickers in May
4 : 1

(b)
Total number of stickers in April
= 8 u + 4 u
= 12 u

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

Total stickers in April : Total stickers in May
12 : 6 _(÷6)
2 : 1 

Answer(s): (a) 4 : 1; (b) 2 : 1