Hazel, Olivia and Victoria had a sum of money. The amount of money Hazel had was ³₅ of the amount of money Olivia had. The ratio of the amount of money Olivia had to the total amount of money Victoria and Olivia had was 3: 7. After Victoria gave $70 to Olivia, she had as much money as Olivia. How much more money did Victoria have than Hazel in the end?

Hazel	Olivia	Victoria
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
9 u	15 u	20 u

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

	Hazel	Olivia	Victoria
Before	9 u	15 u	20 u
Change	No change	+ 70	- 70
After	9 u	15 u + 70	20 u - 70

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

20 u - 70 = 15 u + 70
20 u - 15 u = 70 + 70 
5 u = 140

1 u = 140 ÷ 5 = 28

Amount that Victoria had more than Hazel in the end
= 20 u - 70 - 9 u
= 11 u - 70
= 11 x 28 - 70
= 308 - 70
= $238

Answer(s): $238