Amelia bought 50% more stickers than Mia. Jayden bought 35% fewer stickers than Amelia. Amelia and Mia gave Jayden some stickers in the ratio 2 : 1. As a result, Jayden had twice as much stickers as before. Given that Amelia had 18 less stickers than Mia in the end, how much stickers did Amelia and Mia give to Jayden?

	Amelia	Mia	Jayden
	3x20	2x20
	20x3		13x3
Before	60 u	40 u	39 u
Change			+ (2 x 39 u) = + 78 u
	- 2x26 = - 52 u	- 1x26 = - 26 u	+ 3x26 =  + 78 u
After	8 u	14 u	117 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

The number of stickers that Amelia had at first is the repeated identity.
LCM of 3 and 20 = 60

The change in the number of stickers that Jayden had is the repeated identity when Amelia and Mia gave to Jayden.
LCM of 78 and 3 = 78

Number of stickers that Amelia had less than Mia in the end
= 14 u - 8 u
= 6 u

6 u = 18
1 u = 18 ÷ 6 = 3

Number of stickers that Amelia and Mia gave to Jayden
= 52 u + 26 u
= 78 u
= 78 x 3
= 234

Answer(s): 234