Barbara and Raeann had a total of $700 at first. After Barbara spent ¹₄ of her money and Raeann spent ¹₂ of her money, they had the same amount of money left.

1. How much money did Barbara 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?

	Barbara	Raeann	Total
Before	4 u	2x3 = 6 u	10 u
Change	- 1 u	- 1x3 = - 3 u
After	3 u	1x3 = 3 u

(a) 
The amount that Barbara 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 3 is 3. 

Total amount that Barbara and Raeann had at first
= 4 u + 6 u
= 10 u

10 u = 700

1 u = 700 ÷ 10 = 70

Amount that Barbara had at first
= 4 u
= 4 x 70
= $280

(b)
Amount that Raeann had at first
= 6 u
= 6 x 70
= $420

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
= 420 ÷ 15
= 28

Answer(s): (a) $280; (b) 28