To find the acceleration of a pulley system with 100g and 120g masses, the approach differs based on whether the masses are on a ramp or hanging vertically. If on a ramp, the equations involve tension and gravitational forces, allowing for the elimination of tension to solve for acceleration. In the case of vertical hanging, the equations simplify to m1a = Ft - m1g and m2a = m2g - Ft, leading to a formula for acceleration as a = (m2g - m1g) / (m1 + m2). It's important to show your work in future inquiries for better assistance. Understanding the setup is crucial for accurate calculations.