A charity fund started with a certain amount of donations. On Monday, they spent $\frac{1}{3}$ of the fund plus $20. On Tuesday, they spent $\frac{1}{4}$ of the remaining fund plus $20. On Wednesday, they spent $\frac{1}{5}$ of the remaining fund plus $20. After these three days, they had $60 left. How much money did the charity fund have initially?