Emily, Abi and Ivory shared $255 among themselves. Abi and Ivory shared ²₅ of the money equally. After Abi gave away some of her money to Emily, Ivory had 3 times as much money as Abi. How much money did Abi give to Emily?

	Abi	Ivory	Emily	Total
Before	1x3 = 3 u	1x3 = 3 u	3x3 = 9 u	15 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	11 u	15 u

Abi and Ivory shared ²₅ of the money equally.

Fraction of the money that Abi and Ivory each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Ivory had remains unchanged.  The amount that Ivory had is the unchanged quantity. Make the amount that Ivory had the same. LCM of 1 and 3 is 3.

The amount that Abi and Ivory had at first is the same.

Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u

15 u = 255

1 u = 255 ÷ 15 = 17

Amount that Abi gave to Emily
= 3 u - 1 u
= 2 u
= 2 x 17
= $34

Answer(s): $34