At first, Zane, Sam and Charlie had the same amount of money. After Charlie spent some of his money, Zane spent ²₅ of his money and Sam spent ²₃ of his money, Zane had $76 more than Sam. In the end, the total amount of money the three boys had left was $341. How much money did Charlie spend?

	Zane	Sam	Charlie	Total
Before	5x3 =  15 u	3x5 = 15 u	15 u
Change	- 2x3 = - 6 u	- 2x5 = - 10 u	- ?
After	3x3 = 9 u	1x5 = 5 u		$341

The amount that Zane and Sam each had at first is the same.  Make the amount that they each had the same.  LCM of 5 and 3 is 15.

Amount that Zane had more than Sam in the end
= 9 u - 5 u
= 4 u

4 u = 76

1 u = 76 ÷ 4 = 19

Amount that Zane and Sam had in the end
= 9 u + 5 u
= 14 u
= 14 x 19
= $266

Amount that Charlie had in the end
= 341 - 266
= $75

Amount that Charlie had at first
= 15 u
= 15 x 19
= $285

Amount that Charlie spent
= 285 - 75
= $210

Answer(s): $210