Aaron bought 60% more hair clips than Lucas. Jacob bought 40% fewer hair clips than Aaron. Aaron and Lucas gave Jacob some hair clips in the ratio 2 : 1. As a result, Jacob had twice as much hair clips as before. Given that Aaron had 25 less hair clips than Lucas in the end, how much hair clips did Aaron and Lucas have in the end?

	Aaron	Lucas	Jacob
	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 cards that Aaron had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of cards that Jacob had is the repeated identity when Aaron and Lucas gave to Jacob.
LCM of 48 and 3 = 48


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

1 u = 25

Number of hair clips that Aaron and Lucas had in the end
= 8 u + 9 u
= 17 u
= 17 x 25
= 425

Answer(s): 425