At first, Neave, Rael and Charlie had the same amount of money. After Charlie spent some of his money, Neave spent ³₇ of his money and Rael spent ²₃ of his money, Neave had $85 more than Rael. In the end, the total amount of money the three boys had left was $437. How much money did Charlie spend?

	Neave	Rael	Charlie	Total
Before	7x3 =  21 u	3x7 = 21 u	21 u
Change	- 3x3 = - 9 u	- 2x7 = - 14 u	- ?
After	4x3 = 12 u	1x7 = 7 u		$437

The amount that Neave and Rael each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 3 is 21.

Amount that Neave had more than Rael in the end
= 12 u - 7 u
= 5 u

5 u = 85

1 u = 85 ÷ 5 = 17

Amount that Neave and Rael had in the end
= 12 u + 7 u
= 19 u
= 19 x 17
= $323

Amount that Charlie had in the end
= 437 - 323
= $114

Amount that Charlie had at first
= 21 u
= 21 x 17
= $357

Amount that Charlie spent
= 357 - 114
= $243

Answer(s): $243