At first, Tom, Neave and Harry had the same amount of money. After Harry spent some of his money, Tom spent ²₅ of his money and Neave spent ³₄ of his money, Tom had $77 more than Neave. In the end, the total amount of money the three boys had left was $293. How much money did Harry spend?

	Tom	Neave	Harry	Total
Before	5x4 =  20 u	4x5 = 20 u	20 u
Change	- 2x4 = - 8 u	- 3x5 = - 15 u	- ?
After	3x4 = 12 u	1x5 = 5 u		$293

The amount that Tom and Neave each had at first is the same.  Make the amount that they each had the same.  LCM of 5 and 4 is 20.

Amount that Tom had more than Neave in the end
= 12 u - 5 u
= 7 u

7 u = 77

1 u = 77 ÷ 7 = 11

Amount that Tom and Neave had in the end
= 12 u + 5 u
= 17 u
= 17 x 11
= $187

Amount that Harry had in the end
= 293 - 187
= $106

Amount that Harry had at first
= 20 u
= 20 x 11
= $220

Amount that Harry spent
= 220 - 106
= $114

Answer(s): $114