At first, Glen, Nick and Ben had the same amount of money. After Ben spent some of his money, Glen spent ²₇ of his money and Nick spent ³₅ of his money, Glen had $242 more than Nick. In the end, the total amount of money the three boys had left was $890. How much money did Ben spend?

	Glen	Nick	Ben	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$890

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

11 u = 242

1 u = 242 ÷ 11 = 22

Amount that Glen and Nick had in the end
= 25 u + 14 u
= 39 u
= 39 x 22
= $858

Amount that Ben had in the end
= 890 - 858
= $32

Amount that Ben had at first
= 35 u
= 35 x 22
= $770

Amount that Ben spent
= 770 - 32
= $738

Answer(s): $738