Layla bought 60% more hair clips than Andrew. Claire bought 40% fewer hair clips than Layla. Layla and Andrew gave Claire some hair clips in the ratio 2 : 1. As a result, Claire had twice as much hair clips as before. Given that Layla had 23 less hair clips than Andrew in the end, how much hair clips did Layla and Andrew have in the end?

	Layla	Andrew	Claire
	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 pens that Layla had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of pens that Claire had is the repeated identity when Layla and Andrew gave to Claire.
LCM of 48 and 3 = 48


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

1 u = 23

Number of hair clips that Layla and Andrew had in the end
= 8 u + 9 u
= 17 u
= 17 x 23
= 391

Answer(s): 391