Yoko, Fiona and Gillian shared $225 among themselves. Fiona and Gillian shared ²₉ of the money equally. After Fiona gave away some of her money to Yoko, Gillian had 5 times as much money as Fiona. How much money did Fiona give to Yoko?

	Fiona	Gillian	Yoko	Total
Before	1x5 = 5 u	1x5 = 5 u	7x5 = 35 u	45 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	39 u	45 u

Fiona and Gillian shared ²₉ of the money equally.

Fraction of the money that Fiona and Gillian each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

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

The amount that Fiona and Gillian had at first is the same.

Total amount that they had at first
= 5 u + 5 u + 35 u
= 45 u

45 u = 225

1 u = 225 ÷ 45 = 5

Amount that Fiona gave to Yoko
= 5 u - 1 u
= 4 u
= 4 x 5
= $20

Answer(s): $20