At first, Rael, Zeph and Cole had the same amount of money. After Cole spent some of his money, Rael spent ²₇ of his money and Zeph spent ³₅ of his money, Rael had $110 more than Zeph. In the end, the total amount of money the three boys had left was $525. How much money did Cole spend?

	Rael	Zeph	Cole	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$525

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

11 u = 110

1 u = 110 ÷ 11 = 10

Amount that Rael and Zeph had in the end
= 25 u + 14 u
= 39 u
= 39 x 10
= $390

Amount that Cole had in the end
= 525 - 390
= $135

Amount that Cole had at first
= 35 u
= 35 x 10
= $350

Amount that Cole spent
= 350 - 135
= $215

Answer(s): $215