Jean, Ivory and Cindy had a sum of money. The amount of money Jean had was ²₅ of the amount of money Ivory had. The ratio of the amount of money Ivory had to the total amount of money Cindy and Ivory had was 3: 8. After Cindy gave $70 to Ivory, she had as much money as Ivory. How much more money did Cindy have than Jean in the end?

Jean	Ivory	Cindy
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
6 u	15 u	25 u

The amount that Ivory had is the repeated identity. Make the amount that Ivory had the same.  LCM of 5 and 3 is 15.

	Jean	Ivory	Cindy
Before	6 u	15 u	25 u
Change	No change	+ 70	- 70
After	6 u	15 u + 70	25 u - 70

The amount that Cindy and Ivory had in the end is the same.

25 u - 70 = 15 u + 70
25 u - 15 u = 70 + 70 
10 u = 140

1 u = 140 ÷ 10 = 14

Amount that Cindy had more than Jean in the end
= 25 u - 70 - 6 u
= 19 u - 70
= 19 x 14 - 70
= 266 - 70
= $196

Answer(s): $196