Wendy, Erika and Victoria had a sum of money. The amount of money Wendy had was ²₅ of the amount of money Erika had. The ratio of the amount of money Erika had to the total amount of money Victoria and Erika had was 3: 7. After Victoria gave $10 to Erika, she had as much money as Erika. How much more money did Victoria have than Wendy in the end?

Wendy	Erika	Victoria
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
6 u	15 u	20 u

The amount that Erika had is the repeated identity. Make the amount that Erika had the same.  LCM of 5 and 3 is 15.

	Wendy	Erika	Victoria
Before	6 u	15 u	20 u
Change	No change	+ 10	- 10
After	6 u	15 u + 10	20 u - 10

The amount that Victoria and Erika had in the end is the same.

20 u - 10 = 15 u + 10
20 u - 15 u = 10 + 10 
5 u = 20

1 u = 20 ÷ 5 = 4

Amount that Victoria had more than Wendy in the end
= 20 u - 10 - 6 u
= 14 u - 10
= 14 x 4 - 10
= 56 - 10
= $46

Answer(s): $46