¹₆ of Shiyun's money was equal to ¹₅ of Victoria's money at first. After Shiyun spent $156 and Victoria spent ¹₃ of her money, Shiyun had ¹₂ as much money as Victoria.

1. How much money did Victoria have at first?
2. How much money did Victoria have in the end?

	Shiyun	Victoria
Comparing Shiyun and Victoria at first	6x3 = 18 u	5x3 = 15 u
Before		3x5 = 15 u
Change	- $156	- 1x5 = - 5 u
After		2x5 = 10 u
Comparing Shiyun  and Victoria in the end	1x5 = 5 u	2x5 = 10 u

¹₆ Shiyun's money = ¹₅ Victoria's money

Make numerators the same.
16 Shiyun's money = 1x15x1 Victoria's money
16 Shiyun's money = 15 Victoria's money

Shiyun's money : Victoria's money = 6 : 5

The amount that Victoria had at first is repeated.  Make the amount that Victoria had at first the same.  LCM of 5 and 3 is 15.

Amount that Shiyun spent
= 18 u - 5 u
= 13 u

13 u = 156

1 u = 156 ÷ 13 = 12

(a)
Amount that Victoria had at first
= 15 u
= 15 x 12
= $180

(b) 
Amount that Victoria had in the end
= 10 u
= 10 x 12
= $120

Answer(s): (a) $180; (b) $120