At first, Fred, Elijah and Bryan had the same amount of money. After Bryan spent some of his money, Fred spent ³₈ of his money and Elijah spent ³₄ of his money, Fred had $66 more than Elijah. In the end, the total amount of money the three boys had left was $311. How much money did Bryan spend?

	Fred	Elijah	Bryan	Total
Before	8x1 =  8 u	4x2 = 8 u	8 u
Change	- 3x1 = - 3 u	- 3x2 = - 6 u	- ?
After	5x1 = 5 u	1x2 = 2 u		$311

The amount that Fred and Elijah each had at first is the same.  Make the amount that they each had the same.  LCM of 8 and 4 is 8.

Amount that Fred had more than Elijah in the end
= 5 u - 2 u
= 3 u

3 u = 66

1 u = 66 ÷ 3 = 22

Amount that Fred and Elijah had in the end
= 5 u + 2 u
= 7 u
= 7 x 22
= $154

Amount that Bryan had in the end
= 311 - 154
= $157

Amount that Bryan had at first
= 8 u
= 8 x 22
= $176

Amount that Bryan spent
= 176 - 157
= $19

Answer(s): $19