Evelyn bought 60% more hair clips than Owen. Lucas bought 40% fewer hair clips than Evelyn. Evelyn and Owen gave Lucas some hair clips in the ratio 2 : 1. As a result, Lucas had twice as much hair clips as before. Given that Evelyn had 11 less hair clips than Owen in the end, how much hair clips did Evelyn and Owen have in the end?

	Evelyn	Owen	Lucas
	8x5	5x5
	5x8		3x8
Before	40 u	25 u	24 u
Change			+ (2 x 24 u) = + 48 u
	- 2x16 = - 32 u	- 1x16 = - 16 u	+ 3x16 =  + 48 u
After	8 u	9 u	72 u

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of beads that Evelyn had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of beads that Lucas had is the repeated identity when Evelyn and Owen gave to Lucas.
LCM of 48 and 3 = 48


Number of hair clips that Evelyn had less than Owen in the end
= 9 u - 8 u
= 1 u

1 u = 11

Number of hair clips that Evelyn and Owen had in the end
= 8 u + 9 u
= 17 u
= 17 x 11
= 187

Answer(s): 187