Ava bought 60% more hair clips than Aubrey. Ella bought 40% fewer hair clips than Ava. Ava and Aubrey gave Ella some hair clips in the ratio 2 : 1. As a result, Ella had twice as much hair clips as before. Given that Ava had 15 less hair clips than Aubrey in the end, how much hair clips did Ava and Aubrey have in the end?

	Ava	Aubrey	Ella
	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 stamps that Ava had at first is the repeated identity.
LCM of 8 and 5 = 40

The change in the number of stamps that Ella had is the repeated identity when Ava and Aubrey gave to Ella.
LCM of 48 and 3 = 48


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

1 u = 15

Number of hair clips that Ava and Aubrey had in the end
= 8 u + 9 u
= 17 u
= 17 x 15
= 255

Answer(s): 255