Yen, Hazel and Natalie shared $360 among themselves. Hazel and Natalie shared ²₅ of the money equally. After Hazel gave away some of her money to Yen, Natalie had 4 times as much money as Hazel. How much money did Hazel give to Yen?

	Hazel	Natalie	Yen	Total
Before	1x4 = 4 u	1x4 = 4 u	3x4 = 12 u	20 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	15 u	20 u

Hazel and Natalie shared ²₅ of the money equally.

Fraction of the money that Hazel and Natalie each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

The amount that Hazel and Natalie had at first is the same.

Total amount that they had at first
= 4 u + 4 u + 12 u
= 20 u

20 u = 360

1 u = 360 ÷ 20 = 18

Amount that Hazel gave to Yen
= 4 u - 1 u
= 3 u
= 3 x 18
= $54

Answer(s): $54