Vanessa and Xandra had a total of $1260 at first. After Vanessa spent ²₅ of her money and Xandra spent ²₃ of her money, they had the same amount of money left.

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

	Vanessa	Xandra	Total
Before	5 u	3x3 = 9 u	14 u
Change	- 2 u	- 2x3 = - 6 u
After	3 u	1x3 = 3 u

(a) 
The amount that Vanessa and Xandra had in the end is the same.  Make the amount that they each had in the end the same.  LCM of 1 and 3 is 3. 

Total amount that Vanessa and Xandra had at first
= 5 u + 9 u
= 14 u

14 u = 1260

1 u = 1260 ÷ 14 = 90

Amount that Vanessa had at first
= 5 u
= 5 x 90
= $450

(b)
Amount that Xandra had at first
= 9 u
= 9 x 90
= $810

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

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

Number of 5-notes
= 810 ÷ 15
= 54

Answer(s): (a) $450; (b) 54