Mrs Chiam gave Lucy and Kimberly some money each on Tuesday. On Wednesday, Lucy gave ¹₆ of the amount she had to Kimberly. On Thursday, Kimberly gave ¹₅ of the amount she had to Lucy. In the end, Lucy had $63 and Kimberly had $32. How much did Kimberly had more than Lucy at first?

	Lucy	Kimberly	Total
Before 1	6 u	?	$95
Change 1	- 1 u	+ 1 u
After 1	5 u	5 p	$95
Before 2	$63 - 1 p	5 p	$95
Change 2	+ 1 p	- 1 p
After 2	$63	4 p ($32)	$95

Amount that Kimberly had in the end = 4 p

4 p = 32

1 p = 32 ÷ 4 = 8

Working backwards.

Amount that Lucy had after giving to Kimberly on Wednesday
= 63 - 1 p
= 63 - 8
= $55

5 u = 55

1 u = 55 ÷ 5 = 11

Amount that Lucy had at first
= 6 u
= 6 x 11
= $66

Total amount that Lucy and Kimberly had 
= 63 + 32
= $95

Amount that Kimberly had at first
= 95 - 66
= $29

Amount that Lucy had more than Kimberly
= 66 - 29 
= $37

Answer(s): $37