Barbara, Jane and Tina had a sum of money. The amount of money Barbara had was ³₄ of the amount of money Jane had. The ratio of the amount of money Jane had to the total amount of money Tina and Jane had was 2: 5. After Tina gave $60 to Jane, she had as much money as Jane. How much more money did Tina have than Barbara in the end?

Barbara	Jane	Tina
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

The amount that Jane had is the repeated identity. Make the amount that Jane had the same.  LCM of 4 and 2 is 4.

	Barbara	Jane	Tina
Before	3 u	4 u	6 u
Change	No change	+ 60	- 60
After	3 u	4 u + 60	6 u - 60

The amount that Tina and Jane had in the end is the same.

6 u - 60 = 4 u + 60
6 u - 4 u = 60 + 60 
2 u = 120

1 u = 120 ÷ 2 = 60

Amount that Tina had more than Barbara in the end
= 6 u - 60 - 3 u
= 3 u - 60
= 3 x 60 - 60
= 180 - 60
= $120

Answer(s): $120