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

Min	Betty	Jen
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
6 u	15 u	25 u

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

	Min	Betty	Jen
Before	6 u	15 u	25 u
Change	No change	+ 70	- 70
After	6 u	15 u + 70	25 u - 70

The amount that Jen and Betty 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 Jen had more than Min in the end
= 25 u - 70 - 6 u
= 19 u - 70
= 19 x 14 - 70
= 266 - 70
= $196

Answer(s): $196