Mia bought 50% more stickers than Isaac. Noah bought 35% fewer stickers than Mia. Mia and Isaac gave Noah some stickers in the ratio 2 : 1. As a result, Noah had twice as much stickers as before. Given that Mia had 54 less stickers than Isaac in the end, how much stickers did Mia and Isaac give to Noah?

	Mia	Isaac	Noah
	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 Mia had at first is the repeated identity.
LCM of 3 and 20 = 60

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

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

6 u = 54
1 u = 54 ÷ 6 = 9

Number of stickers that Mia and Isaac gave to Noah
= 52 u + 26 u
= 78 u
= 78 x 9
= 702

Answer(s): 702