At first, Reggie, Valen and Neave had the same amount of money. After Neave spent some of his money, Reggie spent ²₇ of his money and Valen spent ³₄ of his money, Reggie had $247 more than Valen. In the end, the total amount of money the three boys had left was $604. How much money did Neave spend?

	Reggie	Valen	Neave	Total
Before	7x4 =  28 u	4x7 = 28 u	28 u
Change	- 2x4 = - 8 u	- 3x7 = - 21 u	- ?
After	5x4 = 20 u	1x7 = 7 u		$604

The amount that Reggie and Valen each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 4 is 28.

Amount that Reggie had more than Valen in the end
= 20 u - 7 u
= 13 u

13 u = 247

1 u = 247 ÷ 13 = 19

Amount that Reggie and Valen had in the end
= 20 u + 7 u
= 27 u
= 27 x 19
= $513

Amount that Neave had in the end
= 604 - 513
= $91

Amount that Neave had at first
= 28 u
= 28 x 19
= $532

Amount that Neave spent
= 532 - 91
= $441

Answer(s): $441