Emma, Lynn and Jade had a sum of money. The amount of money Emma had was ³₅ of the amount of money Lynn had. The ratio of the amount of money Lynn had to the total amount of money Jade and Lynn had was 2: 9. After Jade gave $25 to Lynn, she had as much money as Lynn. How much more money did Jade have than Emma in the end?

Emma	Lynn	Jade
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	7x5 = 35 u
6 u	10 u	35 u

The amount that Lynn had is the repeated identity. Make the amount that Lynn had the same.  LCM of 5 and 2 is 10.

	Emma	Lynn	Jade
Before	6 u	10 u	35 u
Change	No change	+ 25	- 25
After	6 u	10 u + 25	35 u - 25

The amount that Jade and Lynn had in the end is the same.

35 u - 25 = 10 u + 25
35 u - 10 u = 25 + 25 
25 u = 50

1 u = 50 ÷ 25 = 2

Amount that Jade had more than Emma in the end
= 35 u - 25 - 6 u
= 29 u - 25
= 29 x 2 - 25
= 58 - 25
= $33

Answer(s): $33