1. **State the problem:** Joseph deposited an unknown amount of money on Monday, then deposited 700 on Tuesday, withdrew 300 and 200 on Wednesday and Thursday respectively, and finally withdrew half of the remaining amount on Friday, leaving 1400 in the account. We need to find how much he deposited on Monday. 2. **Define variables:** Let $x$ be the amount deposited on Monday. 3. **Write the equation:** - Total after Monday and Tuesday deposits: $x + 700$ - After withdrawing 300 and 200: $x + 700 - 300 - 200 = x + 200$ - On Friday, he withdrew half of what was left, so half remains: $\frac{1}{2}(x + 200) = 1400$ 4. **Solve the equation:** $$\frac{1}{2}(x + 200) = 1400$$ Multiply both sides by 2: $$\cancel{\frac{1}{2}}(x + 200) \times 2 = 1400 \times 2$$ $$x + 200 = 2800$$ Subtract 200 from both sides: $$x + \cancel{200} - \cancel{200} = 2800 - 200$$ $$x = 2600$$ 5. **Answer:** Joseph deposited **2600** on Monday.