Sabrina, Victoria and Kylie had a total of 113 stamps. The ratio of Victoria's stamps to Kylie's stamps was at first 12 : 5. After Sabrina and Victoria each gave half of their stamps away, the 3 children had 69 stamps left. How many stamps did Sabrina and Victoria have at first?

	Sabrina	Victoria	Kylie	Total
Before	2 p	12 u	5 u	113
Change	- 1 p	- 6 u		- 44
After	1 p	6 u	5 u	69

Number of stamps that Sabrina and Victoria gave away
= 113 - 69
= 44

1 p + 6 u = 44
1 p = 44 - 6 u --- (1)

1 p + 6 u + 5 u = 69
1 p + 11 u = 69
1 p = 69 - 11 u --- (2)

(1) = (2)
44 - 6 u = 69 - 11 u
11 u - 6 u = 69 - 44
5 u = 25

1 u = 25 ÷ 5 = 5

From (1)
1 p = 44 - 6 u
1 p = 44 - 6 x 5

1 p = 44 - 30 = 14

Number of stamps that Sabrina and Victoria had at first
= 2 p + 12 u
= 2 x 14 + 12 x 5
= 28 + 25
= 53

Answer(s): 53