At first, Tim, Riordan and Jenson had the same amount of money. After Jenson spent some of his money, Tim spent ³₈ of his money and Riordan spent ³₄ of his money, Tim had $51 more than Riordan. In the end, the total amount of money the three boys had left was $242. How much money did Jenson spend?

	Tim	Riordan	Jenson	Total
Before	8x1 =  8 u	4x2 = 8 u	8 u
Change	- 3x1 = - 3 u	- 3x2 = - 6 u	- ?
After	5x1 = 5 u	1x2 = 2 u		$242

The amount that Tim and Riordan 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 Tim had more than Riordan in the end
= 5 u - 2 u
= 3 u

3 u = 51

1 u = 51 ÷ 3 = 17

Amount that Tim and Riordan had in the end
= 5 u + 2 u
= 7 u
= 7 x 17
= $119

Amount that Jenson had in the end
= 242 - 119
= $123

Amount that Jenson had at first
= 8 u
= 8 x 17
= $136

Amount that Jenson spent
= 136 - 123
= $13

Answer(s): $13