Jaslyn, Esther and Usha had a sum of money. The amount of money Jaslyn had was ²₃ of the amount of money Esther had. The ratio of the amount of money Esther had to the total amount of money Usha and Esther had was 2: 5. After Usha gave $90 to Esther, she had as much money as Esther. How much more money did Usha have than Jaslyn in the end?

Jaslyn	Esther	Usha
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	3x3 = 9 u
4 u	6 u	9 u

The amount that Esther had is the repeated identity. Make the amount that Esther had the same.  LCM of 3 and 2 is 6.

	Jaslyn	Esther	Usha
Before	4 u	6 u	9 u
Change	No change	+ 90	- 90
After	4 u	6 u + 90	9 u - 90

The amount that Usha and Esther had in the end is the same.

9 u - 90 = 6 u + 90
9 u - 6 u = 90 + 90 
3 u = 180

1 u = 180 ÷ 3 = 60

Amount that Usha had more than Jaslyn in the end
= 9 u - 90 - 4 u
= 5 u - 90
= 5 x 60 - 90
= 300 - 90
= $210

Answer(s): $210