At first, Asher, Sean and Nick had the same amount of money. After Nick spent some of his money, Asher spent ²₇ of his money and Sean spent ³₄ of his money, Asher had $351 more than Sean. In the end, the total amount of money the three boys had left was $884. How much money did Nick spend?

	Asher	Sean	Nick	Total
Before	7x4 =  28 u	4x7 = 28 u	28 u
Change	- 2x4 = - 8 u	- 3x7 = - 21 u	- ?
After	5x4 = 20 u	1x7 = 7 u		$884

The amount that Asher and Sean each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 4 is 28.

Amount that Asher had more than Sean in the end
= 20 u - 7 u
= 13 u

13 u = 351

1 u = 351 ÷ 13 = 27

Amount that Asher and Sean had in the end
= 20 u + 7 u
= 27 u
= 27 x 27
= $729

Amount that Nick had in the end
= 884 - 729
= $155

Amount that Nick had at first
= 28 u
= 28 x 27
= $756

Amount that Nick spent
= 756 - 155
= $601

Answer(s): $601