Answer
The Helmet cost 250 dollars, the Jacket cost 350 dollars, and the Gloves cost 50 dollars.
Work Step by Step
Let g be the cost of the gloves, h be the cost of the helmet, and j be the cost of the jacket. Thus, we obtain:
$ j + h + g = 650 \\ j = h + 100 \\ h + g = j -50$
In equation one, we plug in equation three to find:
$ j + j -50 = 650 \\ 2j = 700 \\ j = 350$
We use equation two to find:
$ h = j - 100 = 350 - 100 = 250 $
Since they add up in cost to 650 dollars, it follows:
$ g = 650 - 350 - 250 = 50$
