1. **Problem Statement:** A man bought 5 reams of duplicating paper, each supposed to contain 450 sheets. The actual sheets in the packets are 415, 410, 400, 415, and 405. We need to find the total number of sheets he actually bought and compare it to the expected total. 2. **Formula and Explanation:** - Expected total sheets = number of reams \( \times \) sheets per ream. - Actual total sheets = sum of sheets in each packet. 3. **Calculations:** - Expected total sheets = \(5 \times 450 = 2250\) - Actual total sheets = \(415 + 410 + 400 + 415 + 405 = 2045\) 4. **Interpretation:** - The man received \(2045\) sheets instead of \(2250\). - The difference is \(2250 - 2045 = 205\) sheets less than expected. 5. **Conclusion:** - The man got fewer sheets than expected by 205 sheets in total.