Evan bought 50% more stickers than Sofia. Jamie bought 35% fewer stickers than Evan. Evan and Sofia gave Jamie some stickers in the ratio 2 : 1. As a result, Jamie had twice as much stickers as before. Given that Evan had 78 less stickers than Sofia in the end, how much stickers did Evan and Sofia give to Jamie?

	Evan	Sofia	Jamie
	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 Evan had at first is the repeated identity.
LCM of 3 and 20 = 60

The change in the number of stickers that Jamie had is the repeated identity when Evan and Sofia gave to Jamie.
LCM of 78 and 3 = 78

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

6 u = 78
1 u = 78 ÷ 6 = 13

Number of stickers that Evan and Sofia gave to Jamie
= 52 u + 26 u
= 78 u
= 78 x 13
= 1014

Answer(s): 1014