There were some purple stickers and white stickers. The stickers were packed into 2 bags. At first, Box G contained 130 stickers and 40% of them were white stickers. Box H contained 235 stickers and 60% of them were white stickers. How many purple stickers and white stickers in total must be moved from Box G to Box H such that 20% of the stickers in Box G are purple and 50% of the stickers in Box H are white?

	Box G		Box H
Total	130		235
	White stickers	Purple stickers	White stickers	Purple stickers
Before	52	78	141	94
Change	- ?	- ?	+ ?	+ ?
After	4 u	1 u	1 p	1 p

Number of white stickers in Box G at first
= 40% x 130
= ⁴⁰₁₀₀ x 130
= 52

Number of purple stickers in Box G at first
= 130 - 52
= 78

Number of white stickers in Box H at first
= 60% x 235
= ⁶⁰₁₀₀ x 235
= 141

Number of purple stickers in Box H at first
= 235 - 141
= 94

Box G in the end
20% = ²⁰₁₀₀ =¹₅
White stickers : Purple stickers = 4 : 1

Box H in the end
50% = ⁵⁰₁₀₀ =¹₂
White stickers : Purple stickers = 1 : 1

Total number of white stickers = 4 u + 1 p

4 u + 1 p = 52 + 141
4 u + 1 p = 193 

1 p = 193 - 4 u --- (1)

Total number of purple stickers = 1 u + 1 p
1 u + 1 p = 78 + 94
1 u + 1 p = 172

1 p = 172 - 1 u --- (2)

(2) = (1)
172 - 1 u = 193 - 4 u
4 u - 1 u = 193 - 172
3 u = 21

1 u = 21 ÷ 3 = 7

Total number of purple stickers and white stickers that must be moved from Box G to Box H
= 130 - 5 u
= 130 - 5 x 7
= 130 - 35
= 95

Answer(s): 95