At first, George, Asher and Riordan had the same amount of money. After Riordan spent some of his money, George spent ²₇ of his money and Asher spent ³₅ of his money, George had $165 more than Asher. In the end, the total amount of money the three boys had left was $757. How much money did Riordan spend?

	George	Asher	Riordan	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$757

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

11 u = 165

1 u = 165 ÷ 11 = 15

Amount that George and Asher had in the end
= 25 u + 14 u
= 39 u
= 39 x 15
= $585

Amount that Riordan had in the end
= 757 - 585
= $172

Amount that Riordan had at first
= 35 u
= 35 x 15
= $525

Amount that Riordan spent
= 525 - 172
= $353

Answer(s): $353