I need help trying to optimize this system of equations. Is it possible?

I am trying to setup a systems of equations to help me optimize winnings of potential bets. I am not sure if this is entirely possible and am very rusty on my math. I swear I used to be good at this!

This is what I am looking at:

Team 1 odds: -150 Team 2 odds: +375 Team 3 odds: +400

What I am trying to do, is find the best ratio to bet on teams 1, 2, and 3, in order to maximize potential profit. For those unaware of how these odds work, the + figures work as a straight multiplier / 100, and the "-" odds number works by mutiplying 100*reciprocal...so -150 is actually 2/3.

x + y + z = total bet

And my Winning Scenarios:

Scenario 1: 2/3x - y - z = profit Scenario 2: -x + 3.75Y - z = profit Scenario 3: -x - y + 4z = profit

Is this possible to solve? Am I missing another equation somewhere? I am stuck on where to go from here. Thanks!