At first, Fabian, Eric and Paul had the same amount of money. After Paul spent some of his money, Fabian spent ²₅ of his money and Eric spent ³₄ of his money, Fabian had $175 more than Eric. In the end, the total amount of money the three boys had left was $618. How much money did Paul spend?

	Fabian	Eric	Paul	Total
Before	5x4 =  20 u	4x5 = 20 u	20 u
Change	- 2x4 = - 8 u	- 3x5 = - 15 u	- ?
After	3x4 = 12 u	1x5 = 5 u		$618

The amount that Fabian and Eric each had at first is the same.  Make the amount that they each had the same.  LCM of 5 and 4 is 20.

Amount that Fabian had more than Eric in the end
= 12 u - 5 u
= 7 u

7 u = 175

1 u = 175 ÷ 7 = 25

Amount that Fabian and Eric had in the end
= 12 u + 5 u
= 17 u
= 17 x 25
= $425

Amount that Paul had in the end
= 618 - 425
= $193

Amount that Paul had at first
= 20 u
= 20 x 25
= $500

Amount that Paul spent
= 500 - 193
= $307

Answer(s): $307