1. **Problem Statement:** We need to find the weight of the green triangle in a balanced weight system where the total weight at the top is 96 pounds. 2. **Understanding the System:** The system is balanced, meaning the sum of weights on one side equals the sum on the other side at every node. 3. **Approach:** - Assign variables to unknown weights, especially the green triangle. - Use the balance condition to set up equations. - Solve the equations to find the weight of the green triangle. 4. **Assumptions and Variables:** Let the weight of the green triangle be $x$ pounds. 5. **Balance Equations:** Since the system is balanced and the total weight is 96 pounds, the sum of weights on the left branch equals the sum on the right branch, both summing to 96. 6. **Simplify the System:** From the description, the green triangle is connected under two blue hexagons on the left side, and there are other shapes on both sides. Without exact numeric weights for other shapes, the problem implies the green triangle's weight is part of the total 96 pounds. 7. **Conclusion:** Given the total weight is 96 pounds and the system is balanced, the green triangle's weight is part of this total. Without additional numeric data or ratios, the best conclusion is that the green triangle's weight is a portion of 96 pounds determined by the balance equations. **Final answer:** The weight of the green triangle is part of the 96 pounds total, but cannot be determined exactly without more information.