At first, Owen, Ahmad and Fabian had the same amount of money. After Fabian spent some of his money, Owen spent ³₇ of his money and Ahmad spent ²₃ of his money, Owen had $55 more than Ahmad. In the end, the total amount of money the three boys had left was $318. How much money did Fabian spend?

	Owen	Ahmad	Fabian	Total
Before	7x3 =  21 u	3x7 = 21 u	21 u
Change	- 3x3 = - 9 u	- 2x7 = - 14 u	- ?
After	4x3 = 12 u	1x7 = 7 u		$318

The amount that Owen and Ahmad each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 3 is 21.

Amount that Owen had more than Ahmad in the end
= 12 u - 7 u
= 5 u

5 u = 55

1 u = 55 ÷ 5 = 11

Amount that Owen and Ahmad had in the end
= 12 u + 7 u
= 19 u
= 19 x 11
= $209

Amount that Fabian had in the end
= 318 - 209
= $109

Amount that Fabian had at first
= 21 u
= 21 x 11
= $231

Amount that Fabian spent
= 231 - 109
= $122

Answer(s): $122