## Elementary Algebra

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: $g = 650 - 350 - 250 = 50$