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on a flight on a commercial airplane two fifths of the passengers get off on the first stop five sixths of those remaining

Question

On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?

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Answer to a math question On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?

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108 Answers

1. Let \( x \) be the total number of passengers who started the trip.

\text{Passenger number after first stop} = \frac{3}{5}x

2. Number of passengers remaining after the second stop:

\frac{1}{6} \times \frac{3}{5}x = 12

3. Simplify the equation:

\frac{3}{30} x = 12

\frac{1}{10} x = 12

4. Solve for \( x \):

x = 12 \times 10

x = 120

The total number of passengers who started the trip is:

120

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