At first, Sean, Luis and Japheth had the same amount of money. After Japheth spent some of his money, Sean spent ²₇ of his money and Luis spent ³₅ of his money, Sean had $286 more than Luis. In the end, the total amount of money the three boys had left was $1041. How much money did Japheth spend?

	Sean	Luis	Japheth	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$1041

The amount that Sean and Luis 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 Sean had more than Luis in the end
= 25 u - 14 u
= 11 u

11 u = 286

1 u = 286 ÷ 11 = 26

Amount that Sean and Luis had in the end
= 25 u + 14 u
= 39 u
= 39 x 26
= $1014

Amount that Japheth had in the end
= 1041 - 1014
= $27

Amount that Japheth had at first
= 35 u
= 35 x 26
= $910

Amount that Japheth spent
= 910 - 27
= $883

Answer(s): $883