Jaslyn, Jen and Tina had a sum of money. The amount of money Jaslyn had was ²₅ of the amount of money Jen had. The ratio of the amount of money Jen had to the total amount of money Tina and Jen had was 4: 9. After Tina gave $50 to Jen, she had as much money as Jen. How much more money did Tina have than Jaslyn in the end?

Jaslyn	Jen	Tina
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

The amount that Jen had is the repeated identity. Make the amount that Jen had the same.  LCM of 5 and 4 is 20.

	Jaslyn	Jen	Tina
Before	8 u	20 u	25 u
Change	No change	+ 50	- 50
After	8 u	20 u + 50	25 u - 50

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

25 u - 50 = 20 u + 50
25 u - 20 u = 50 + 50 
5 u = 100

1 u = 100 ÷ 5 = 20

Amount that Tina had more than Jaslyn in the end
= 25 u - 50 - 8 u
= 17 u - 50
= 17 x 20 - 50
= 340 - 50
= $290

Answer(s): $290