Mark had a certain amount of money in his bank account. On Monday, he spent $\frac{1}{3}$ of his money plus $20. On Tuesday, he spent $\frac{1}{4}$ of the remaining money plus $25. On Wednesday, he spent $\frac{1}{5}$ of the remaining money plus $30. After these three days, he had $100 left. How much money did Mark have initially?