Yen, Anna and Opal shared $380 among themselves. Anna and Opal shared ²₅ of the money equally. After Anna gave away some of her money to Yen, Opal had 4 times as much money as Anna. How much money did Anna give to Yen?

	Anna	Opal	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

Anna and Opal shared ²₅ of the money equally.

Fraction of the money that Anna and Opal each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

The amount that Anna and Opal had at first is the same.

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

20 u = 380

1 u = 380 ÷ 20 = 19

Amount that Anna gave to Yen
= 4 u - 1 u
= 3 u
= 3 x 19
= $57

Answer(s): $57