Rachel, Tammy and Jen had a total of 101 stickers. The ratio of Tammy's stickers to Jen's stickers was at first 8 : 5. After Rachel and Tammy each gave half of their stickers away, the 3 children had 63 stickers left. How many stickers did Rachel and Tammy have at first?

	Rachel	Tammy	Jen	Total
Before	2 p	8 u	5 u	101
Change	- 1 p	- 4 u		- 38
After	1 p	4 u	5 u	63

Number of stickers that Rachel and Tammy gave away
= 101 - 63
= 38

1 p + 4 u = 38
1 p = 38 - 4 u --- (1)

1 p + 4 u + 5 u = 63
1 p + 9 u = 63
1 p = 63 - 9 u --- (2)

(1) = (2)
38 - 4 u = 63 - 9 u
9 u - 4 u = 63 - 38
5 u = 25

1 u = 25 ÷ 5 = 5

From (1)
1 p = 38 - 4 u
1 p = 38 - 4 x 5

1 p = 38 - 20 = 18

Number of stickers that Rachel and Tammy had at first
= 2 p + 8 u
= 2 x 18 + 8 x 5
= 36 + 25
= 61

Answer(s): 61