At first, Gabriel, Nick and Howard had the same amount of money. After Howard spent some of his money, Gabriel spent ²₇ of his money and Nick spent ¹₂ of his money, Gabriel had $30 more than Nick. In the end, the total amount of money the three boys had left was $302. How much money did Howard spend?

	Gabriel	Nick	Howard	Total
Before	7x2 =  14 u	2x7 = 14 u	14 u
Change	- 2x2 = - 4 u	- 1x7 = - 7 u	- ?
After	5x2 = 10 u	1x7 = 7 u		$302

The amount that Gabriel and Nick 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 Gabriel had more than Nick in the end
= 10 u - 7 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Amount that Gabriel and Nick had in the end
= 10 u + 7 u
= 17 u
= 17 x 10
= $170

Amount that Howard had in the end
= 302 - 170
= $132

Amount that Howard had at first
= 14 u
= 14 x 10
= $140

Amount that Howard spent
= 140 - 132
= $8

Answer(s): $8