Robert bought 60% more hair clips than Harper. Gabriel bought 40% fewer hair clips than Robert. Robert and Harper gave Gabriel some hair clips in the ratio 2 : 1. As a result, Gabriel had twice as much hair clips as before. Given that Robert had 22 less hair clips than Harper in the end, how much hair clips did Robert and Harper have in the end?

	Robert	Harper	Gabriel
	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 erasers that Robert had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of erasers that Gabriel had is the repeated identity when Robert and Harper gave to Gabriel.
LCM of 48 and 3 = 48


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

1 u = 22

Number of hair clips that Robert and Harper had in the end
= 8 u + 9 u
= 17 u
= 17 x 22
= 374

Answer(s): 374