At first, Justin, Elijah and Ben had the same amount of money. After Ben spent some of his money, Justin spent ⁴₇ of his money and Elijah spent ²₃ of his money, Justin had $44 more than Elijah. In the end, the total amount of money the three boys had left was $462. How much money did Ben spend?

	Justin	Elijah	Ben	Total
Before	7x3 =  21 u	3x7 = 21 u	21 u
Change	- 4x3 = - 12 u	- 2x7 = - 14 u	- ?
After	3x3 = 9 u	1x7 = 7 u		$462

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

2 u = 44

1 u = 44 ÷ 2 = 22

Amount that Justin and Elijah had in the end
= 9 u + 7 u
= 16 u
= 16 x 22
= $352

Amount that Ben had in the end
= 462 - 352
= $110

Amount that Ben had at first
= 21 u
= 21 x 22
= $462

Amount that Ben spent
= 462 - 110
= $352

Answer(s): $352