Mrs Choo gave Joelle and Shannon some money each on Wednesday. On Thursday, Joelle gave ¹₅ of the amount she had to Shannon. On Friday, Shannon gave ¹₆ of the amount she had to Joelle. In the end, Joelle had $46 and Shannon had $30. How much did Shannon had more than Joelle at first?

	Joelle	Shannon	Total
Before 1	5 u	?	$76
Change 1	- 1 u	+ 1 u
After 1	4 u	6 p	$76
Before 2	$46 - 1 p	6 p	$76
Change 2	+ 1 p	- 1 p
After 2	$46	5 p ($30)	$76

Amount that Shannon had in the end = 5 p

5 p = 30

1 p = 30 ÷ 5 = 6

Working backwards.

Amount that Joelle had after giving to Shannon on Thursday
= 46 - 1 p
= 46 - 6
= $40

4 u = 40

1 u = 40 ÷ 4 = 10

Amount that Joelle had at first
= 5 u
= 5 x 10
= $50

Total amount that Joelle and Shannon had 
= 46 + 30
= $76

Amount that Shannon had at first
= 76 - 50
= $26

Amount that Joelle had more than Shannon
= 50 - 26 
= $24

Answer(s): $24