At first, Ryan, Elijah and George had the same amount of money. After George spent some of his money, Ryan spent ⁴₇ of his money and Elijah spent ²₃ of his money, Ryan had $58 more than Elijah. In the end, the total amount of money the three boys had left was $601. How much money did George spend?

	Ryan	Elijah	George	Total
Before	7x3 =  21 u	3x7 = 21 u	21 u
Change	- 4x3 = - 12 u	- 2x7 = - 14 u	- ?
After	3x3 = 9 u	1x7 = 7 u		$601

The amount that Ryan and Elijah 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 Ryan had more than Elijah in the end
= 9 u - 7 u
= 2 u

2 u = 58

1 u = 58 ÷ 2 = 29

Amount that Ryan and Elijah had in the end
= 9 u + 7 u
= 16 u
= 16 x 29
= $464

Amount that George had in the end
= 601 - 464
= $137

Amount that George had at first
= 21 u
= 21 x 29
= $609

Amount that George spent
= 609 - 137
= $472

Answer(s): $472