At first, Rael, Ivan and Jeremy had the same amount of money. After Jeremy spent some of his money, Rael spent ³₈ of his money and Ivan spent ²₃ of his money, Rael had $98 more than Ivan. In the end, the total amount of money the three boys had left was $386. How much money did Jeremy spend?

	Rael	Ivan	Jeremy	Total
Before	8x3 =  24 u	3x8 = 24 u	24 u
Change	- 3x3 = - 9 u	- 2x8 = - 16 u	- ?
After	5x3 = 15 u	1x8 = 8 u		$386

The amount that Rael and Ivan each had at first is the same.  Make the amount that they each had the same.  LCM of 8 and 3 is 24.

Amount that Rael had more than Ivan in the end
= 15 u - 8 u
= 7 u

7 u = 98

1 u = 98 ÷ 7 = 14

Amount that Rael and Ivan had in the end
= 15 u + 8 u
= 23 u
= 23 x 14
= $322

Amount that Jeremy had in the end
= 386 - 322
= $64

Amount that Jeremy had at first
= 24 u
= 24 x 14
= $336

Amount that Jeremy spent
= 336 - 64
= $272

Answer(s): $272