Abi, Xylia and Hilda shared $288 among themselves. Xylia and Hilda shared ²₉ of the money equally. After Xylia gave away some of her money to Abi, Hilda had 4 times as much money as Xylia. How much money did Xylia give to Abi?

	Xylia	Hilda	Abi	Total
Before	1x4 = 4 u	1x4 = 4 u	7x4 = 28 u	36 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	31 u	36 u

Xylia and Hilda shared ²₉ of the money equally.

Fraction of the money that Xylia and Hilda each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

The amount that Hilda had remains unchanged.  The amount that Hilda had is the unchanged quantity. Make the amount that Hilda had the same. LCM of 1 and 4 is 4.

The amount that Xylia and Hilda had at first is the same.

Total amount that they had at first
= 4 u + 4 u + 28 u
= 36 u

36 u = 288

1 u = 288 ÷ 36 = 8

Amount that Xylia gave to Abi
= 4 u - 1 u
= 3 u
= 3 x 8
= $24

Answer(s): $24