Hilda, Mary and Shannon had a sum of money. The amount of money Hilda had was ²₅ of the amount of money Mary had. The ratio of the amount of money Mary had to the total amount of money Shannon and Mary had was 2: 5. After Shannon gave $5 to Mary, she had as much money as Mary. How much more money did Shannon have than Hilda in the end?

Hilda	Mary	Shannon
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

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

	Hilda	Mary	Shannon
Before	4 u	10 u	15 u
Change	No change	+ 5	- 5
After	4 u	10 u + 5	15 u - 5

The amount that Shannon and Mary had in the end is the same.

15 u - 5 = 10 u + 5
15 u - 10 u = 5 + 5 
5 u = 10

1 u = 10 ÷ 5 = 2

Amount that Shannon had more than Hilda in the end
= 15 u - 5 - 4 u
= 11 u - 5
= 11 x 2 - 5
= 22 - 5
= $17

Answer(s): $17