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Understanding the Problem
In this scenario, we need to analyze the situation where 128 people got down from a long-distance train at a station, and 203 additional people got on. To solve the problem effectively, we need to determine the total number of people on the train after these events.
Initial Steps to Solve
1. Identify Initial Passengers:
- We need to know how many passengers were on the train before these events. Let's denote this number as X.
2. Calculate the Change in Passengers:
- When 128 people disembark, the total decreases by 128.
- When 203 people board, the total increases by 203.
Mathematical Calculation
- The new total number of passengers can be represented as:
New Total = X - 128 + 203
- Simplifying this gives us:
New Total = X + 75
Conclusion
To find the final number of passengers on the train after these changes, we need to know the initial number of passengers (X). However, we can conclude that regardless of the initial number, the train's total passenger count will always increase by 75 after the specified changes.
- If X is given, simply add 75 to that number to find the new total.
Example:
- If there were initially 300 passengers:
New Total = 300 + 75 = 375 passengers.
This approach helps you understand how to manipulate and analyze passenger counts in a train scenario efficiently.
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