Victoria and Raeann had a total of $880 at first. After Victoria spent ³₅ of her money and Raeann spent ²₃ of her money, they had the same amount of money left.

1. How much money did Victoria have at first?
2. Raeann has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?

	Victoria	Raeann	Total
Before	5 u	3x2 = 6 u	11 u
Change	- 3 u	- 2x2 = - 4 u
After	2 u	1x2 = 2 u

(a) 
The amount that Victoria and Raeann had in the end is the same.  Make the amount that they each had in the end the same.  LCM of 1 and 2 is 2. 

Total amount that Victoria and Raeann had at first
= 5 u + 6 u
= 11 u

11 u = 880

1 u = 880 ÷ 11 = 80

Amount that Victoria had at first
= 5 u
= 5 x 80
= $400

(b)
Amount that Raeann had at first
= 6 u
= 6 x 80
= $480

Raeann has the same number of $10-note and $5-note at first.

Value of 1 set of $10-note and $5-note
= 10 + 5
= $15

Number of 10-notes
= 480 ÷ 15
= 32

Answer(s): (a) $400; (b) 32