There were some pink stickers and blue stickers. The stickers were packed into 2 bags. At first, Box L contained 90 stickers and 40% of them were blue stickers. Box M contained 68 stickers and 75% of them were blue stickers. How many pink stickers and blue stickers in total must be moved from Box L to Box M such that 25% of the stickers in Box L are pink and 50% of the stickers in Box M are blue?

	Box L		Box M
Total	90		68
	Blue stickers	Pink stickers	Blue stickers	Pink stickers
Before	36	54	51	17
Change	- ?	- ?	+ ?	+ ?
After	3 u	1 u	1 p	1 p

Number of blue stickers in Box L at first
= 40% x 90
= ⁴⁰₁₀₀ x 90
= 36

Number of pink stickers in Box L at first
= 90 - 36
= 54

Number of blue stickers in Box M at first
= 75% x 68
= ⁷⁵₁₀₀ x 68
= 51

Number of pink stickers in Box M at first
= 68 - 51
= 17

Box L in the end
25% = ²⁵₁₀₀ =¹₄
Blue stickers : Pink stickers = 3 : 1

Box M in the end
50% = ⁵⁰₁₀₀ =¹₂
Blue stickers : Pink stickers = 1 : 1

Total number of blue stickers = 3 u + 1 p

3 u + 1 p = 36 + 51
3 u + 1 p = 87 

1 p = 87 - 3 u --- (1)

Total number of pink stickers = 1 u + 1 p
1 u + 1 p = 54 + 17
1 u + 1 p = 71

1 p = 71 - 1 u --- (2)

(2) = (1)
71 - 1 u = 87 - 3 u
3 u - 1 u = 87 - 71
2 u = 16

1 u = 16 ÷ 2 = 8

Total number of pink stickers and blue stickers that must be moved from Box L to Box M
= 90 - 4 u
= 90 - 4 x 8
= 90 - 32
= 58

Answer(s): 58