At first, Jack, John and Japheth had the same amount of money. After Japheth spent some of his money, Jack spent ²₇ of his money and John spent ³₅ of his money, Jack had $330 more than John. In the end, the total amount of money the three boys had left was $1232. How much money did Japheth spend?

	Jack	John	Japheth	Total
Before	7x5 =  35 u	5x7 = 35 u	35 u
Change	- 2x5 = - 10 u	- 3x7 = - 21 u	- ?
After	5x5 = 25 u	2x7 = 14 u		$1232

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

11 u = 330

1 u = 330 ÷ 11 = 30

Amount that Jack and John had in the end
= 25 u + 14 u
= 39 u
= 39 x 30
= $1170

Amount that Japheth had in the end
= 1232 - 1170
= $62

Amount that Japheth had at first
= 35 u
= 35 x 30
= $1050

Amount that Japheth spent
= 1050 - 62
= $988

Answer(s): $988