Elyse, Emily and Xylia shared $520 among themselves. Emily and Xylia shared ²₅ of the money equally. After Emily gave away some of her money to Elyse, Xylia had 4 times as much money as Emily. How much money did Emily give to Elyse?

	Emily	Xylia	Elyse	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

Emily and Xylia shared ²₅ of the money equally.

Fraction of the money that Emily and Xylia each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

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

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

20 u = 520

1 u = 520 ÷ 20 = 26

Amount that Emily gave to Elyse
= 4 u - 1 u
= 3 u
= 3 x 26
= $78

Answer(s): $78