Joelle, Ivory and Penelope shared $570 among themselves. Ivory and Penelope shared ²₅ of the money equally. After Ivory gave away some of her money to Joelle, Penelope had 6 times as much money as Ivory. How much money did Ivory give to Joelle?

	Ivory	Penelope	Joelle	Total
Before	1x6 = 6 u	1x6 = 6 u	3x6 = 18 u	30 u
Change	- 5 u	No change	+ 5 u
After	1x1 = 1 u	6x1 = 6 u	23 u	30 u

Ivory and Penelope shared ²₅ of the money equally.

Fraction of the money that Ivory 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 6 is 6.

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

Total amount that they had at first
= 6 u + 6 u + 18 u
= 30 u

30 u = 570

1 u = 570 ÷ 30 = 19

Amount that Ivory gave to Joelle
= 6 u - 1 u
= 5 u
= 5 x 19
= $95

Answer(s): $95