Xuan, Gabby and Esther shared $300 among themselves. Gabby and Esther shared ²₅ of the money equally. After Gabby gave away some of her money to Xuan, Esther had 5 times as much money as Gabby. How much money did Gabby give to Xuan?

	Gabby	Esther	Xuan	Total
Before	1x5 = 5 u	1x5 = 5 u	3x5 = 15 u	25 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	19 u	25 u

Gabby and Esther shared ²₅ of the money equally.

Fraction of the money that Gabby and Esther each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Esther had remains unchanged.  The amount that Esther had is the unchanged quantity. Make the amount that Esther had the same. LCM of 1 and 5 is 5.

The amount that Gabby and Esther had at first is the same.

Total amount that they had at first
= 5 u + 5 u + 15 u
= 25 u

25 u = 300

1 u = 300 ÷ 25 = 12

Amount that Gabby gave to Xuan
= 5 u - 1 u
= 4 u
= 4 x 12
= $48

Answer(s): $48