At first, Reggie, Harry and Zeph had the same amount of money. After Zeph spent some of his money, Reggie spent ²₅ of his money and Harry spent ²₃ of his money, Reggie had $56 more than Harry. In the end, the total amount of money the three boys had left was $289. How much money did Zeph spend?

	Reggie	Harry	Zeph	Total
Before	5x3 =  15 u	3x5 = 15 u	15 u
Change	- 2x3 = - 6 u	- 2x5 = - 10 u	- ?
After	3x3 = 9 u	1x5 = 5 u		$289

The amount that Reggie and Harry each had at first is the same.  Make the amount that they each had the same.  LCM of 5 and 3 is 15.

Amount that Reggie had more than Harry in the end
= 9 u - 5 u
= 4 u

4 u = 56

1 u = 56 ÷ 4 = 14

Amount that Reggie and Harry had in the end
= 9 u + 5 u
= 14 u
= 14 x 14
= $196

Amount that Zeph had in the end
= 289 - 196
= $93

Amount that Zeph had at first
= 15 u
= 15 x 14
= $210

Amount that Zeph spent
= 210 - 93
= $117

Answer(s): $117