What is the maximum weight that could be added at Station 150.0 without exceeding the aft CG limit? Aircraft weight: 5,000 lb CG location: Station 80.0 Aft CG limit: Station 80.5

Explanation

Adding weight W at station 150 moves the CG to (5,000 x 80 + 150W) / (5,000 + W). Setting that equal to the aft limit of 80.5: 400,000 + 150W = 402,500 + 80.5W, so 69.5W = 2,500 and W = about 35.9 pounds. 69.5 is the distance from the new CG to the station, and 70 is the arm from the old CG, not a weight.