At first, Oliver, Justin and Elijah had the same amount of money. After Elijah spent some of his money, Oliver spent ³₈ of his money and Justin spent ²₃ of his money, Oliver had $154 more than Justin. In the end, the total amount of money the three boys had left was $706. How much money did Elijah spend?

	Oliver	Justin	Elijah	Total
Before	8x3 =  24 u	3x8 = 24 u	24 u
Change	- 3x3 = - 9 u	- 2x8 = - 16 u	- ?
After	5x3 = 15 u	1x8 = 8 u		$706

The amount that Oliver and Justin 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 Oliver had more than Justin in the end
= 15 u - 8 u
= 7 u

7 u = 154

1 u = 154 ÷ 7 = 22

Amount that Oliver and Justin had in the end
= 15 u + 8 u
= 23 u
= 23 x 22
= $506

Amount that Elijah had in the end
= 706 - 506
= $200

Amount that Elijah had at first
= 24 u
= 24 x 22
= $528

Amount that Elijah spent
= 528 - 200
= $328

Answer(s): $328