Mrs Yeo gave Olivia and Pamela some money each on Wednesday. On Thursday, Olivia gave ¹₅ of the amount she had to Pamela. On Friday, Pamela gave ¹₃ of the amount she had to Olivia. In the end, Olivia had $49 and Pamela had $10. How much did Pamela had more than Olivia at first?

	Olivia	Pamela	Total
Before 1	5 u	?	$59
Change 1	- 1 u	+ 1 u
After 1	4 u	3 p	$59
Before 2	$49 - 1 p	3 p	$59
Change 2	+ 1 p	- 1 p
After 2	$49	2 p ($10)	$59

Amount that Pamela had in the end = 2 p

2 p = 10

1 p = 10 ÷ 2 = 5

Working backwards.

Amount that Olivia had after giving to Pamela on Thursday
= 49 - 1 p
= 49 - 5
= $44

4 u = 44

1 u = 44 ÷ 4 = 11

Amount that Olivia had at first
= 5 u
= 5 x 11
= $55

Total amount that Olivia and Pamela had 
= 49 + 10
= $59

Amount that Pamela had at first
= 59 - 55
= $4

Amount that Olivia had more than Pamela
= 55 - 4 
= $51

Answer(s): $51