At first, Paul, Fabian and Zane had the same amount of money. After Zane spent some of his money, Paul spent ²₇ of his money and Fabian spent ¹₂ of his money, Paul had $45 more than Fabian. In the end, the total amount of money the three boys had left was $357. How much money did Zane spend?

	Paul	Fabian	Zane	Total
Before	7x2 =  14 u	2x7 = 14 u	14 u
Change	- 2x2 = - 4 u	- 1x7 = - 7 u	- ?
After	5x2 = 10 u	1x7 = 7 u		$357

The amount that Paul and Fabian each had at first is the same.  Make the amount that they each had the same.  LCM of 7 and 2 is 14.

Amount that Paul had more than Fabian in the end
= 10 u - 7 u
= 3 u

3 u = 45

1 u = 45 ÷ 3 = 15

Amount that Paul and Fabian had in the end
= 10 u + 7 u
= 17 u
= 17 x 15
= $255

Amount that Zane had in the end
= 357 - 255
= $102

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

Amount that Zane spent
= 210 - 102
= $108

Answer(s): $108