Gabby, Kathy and Ivory had a total of 195 stickers. The ratio of Kathy's stickers to Ivory's stickers was at first 12 : 5. After Gabby and Kathy each gave half of their stickers away, the 3 children had 120 stickers left. How many stickers did Gabby and Kathy have at first?

	Gabby	Kathy	Ivory	Total
Before	2 p	12 u	5 u	195
Change	- 1 p	- 6 u		- 75
After	1 p	6 u	5 u	120

Number of stickers that Gabby and Kathy gave away
= 195 - 120
= 75

1 p + 6 u = 75
1 p = 75 - 6 u --- (1)

1 p + 6 u + 5 u = 120
1 p + 11 u = 120
1 p = 120 - 11 u --- (2)

(1) = (2)
75 - 6 u = 120 - 11 u
11 u - 6 u = 120 - 75
5 u = 45

1 u = 45 ÷ 5 = 9

From (1)
1 p = 75 - 6 u
1 p = 75 - 6 x 9

1 p = 75 - 54 = 21

Number of stickers that Gabby and Kathy had at first
= 2 p + 12 u
= 2 x 21 + 12 x 9
= 42 + 45
= 87

Answer(s): 87