Riordan bought 60% more hair clips than Gabriel. Isabella bought 40% fewer hair clips than Riordan. Riordan and Gabriel gave Isabella some hair clips in the ratio 2 : 1. As a result, Isabella had twice as much hair clips as before. Given that Riordan had 24 less hair clips than Gabriel in the end, how much hair clips did Riordan and Gabriel have in the end?

	Riordan	Gabriel	Isabella
	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 coins that Riordan had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of coins that Isabella had is the repeated identity when Riordan and Gabriel gave to Isabella.
LCM of 48 and 3 = 48


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

1 u = 24

Number of hair clips that Riordan and Gabriel had in the end
= 8 u + 9 u
= 17 u
= 17 x 24
= 408

Answer(s): 408