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a bus fare for a school field trip costs P624. since the number of persons making the trip is 13 less than the capacity of the bus, it costs P8 more per student than if the bus is filled. how many students are in the trip?

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Kaiusviz
We calculate the number of students by dividing the cost with the cost per student. So we have: (624/(X - 13)) = (624/X) + 8 --> Multiply both sides with (X)(X - 13) --> 624(X) = 624(X - 13) + 8(X)(X - 13) --> 624X = 624X - 8112 + 8X^2 - 104X --> 0 = 8X^2 - 104X - 8112 --> X = 39,-26. Since there are no negative number of people, we get 39. To get the number of students in the bus: X = 39 - 13 = 26 students.

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