Xandra, Zoe and Penelope shared $345 among themselves. Zoe and Penelope shared ²₅ of the money equally. After Zoe gave away some of her money to Xandra, Penelope had 3 times as much money as Zoe. How much money did Zoe give to Xandra?

	Zoe	Penelope	Xandra	Total
Before	1x3 = 3 u	1x3 = 3 u	3x3 = 9 u	15 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	11 u	15 u

Zoe and Penelope shared ²₅ of the money equally.

Fraction of the money that Zoe and Penelope each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Penelope had remains unchanged.  The amount that Penelope had is the unchanged quantity. Make the amount that Penelope had the same. LCM of 1 and 3 is 3.

The amount that Zoe and Penelope had at first is the same.

Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u

15 u = 345

1 u = 345 ÷ 15 = 23

Amount that Zoe gave to Xandra
= 3 u - 1 u
= 2 u
= 2 x 23
= $46

Answer(s): $46