At first, Ben, Liam and Carl had the same amount of money. After Carl spent some of his money, Ben spent ³₈ of his money and Liam spent ³₅ of his money, Ben had $180 more than Liam. In the end, the total amount of money the three boys had left was $995. How much money did Carl spend?

	Ben	Liam	Carl	Total
Before	8x5 =  40 u	5x8 = 40 u	40 u
Change	- 3x5 = - 15 u	- 3x8 = - 24 u	- ?
After	5x5 = 25 u	2x8 = 16 u		$995

The amount that Ben and Liam each had at first is the same.  Make the amount that they each had the same.  LCM of 8 and 5 is 40.

Amount that Ben had more than Liam in the end
= 25 u - 16 u
= 9 u

9 u = 180

1 u = 180 ÷ 9 = 20

Amount that Ben and Liam had in the end
= 25 u + 16 u
= 41 u
= 41 x 20
= $820

Amount that Carl had in the end
= 995 - 820
= $175

Amount that Carl had at first
= 40 u
= 40 x 20
= $800

Amount that Carl spent
= 800 - 175
= $625

Answer(s): $625