At first, Justin, Perry and Rael had the same amount of money. After Rael spent some of his money, Justin spent ²₇ of his money and Perry spent ³₅ of his money, Justin had $231 more than Perry. In the end, the total amount of money the three boys had left was $1004. How much money did Rael spend?

	Justin	Perry	Rael	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$1004

The amount that Justin and Perry each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 5 is 35.

Amount that Justin had more than Perry in the end
= 25 u - 14 u
= 11 u

11 u = 231

1 u = 231 ÷ 11 = 21

Amount that Justin and Perry had in the end
= 25 u + 14 u
= 39 u
= 39 x 21
= $819

Amount that Rael had in the end
= 1004 - 819
= $185

Amount that Rael had at first
= 35 u
= 35 x 21
= $735

Amount that Rael spent
= 735 - 185
= $550

Answer(s): $550