Question

Problem No. 5 A 55-seater bus was 40% full of its capacity on leaving the depot. At the first stop only my friend and I boarded the bus. At the second stop one third of the passengers alighted and 9 passengers boarded. At the third stop I, together with 10 other passengers, got off the bus and 5 boarded. How many passengers were on the bus as it pulled away from the stop?​

Answer 1

19

Explanation:

You want the number of passengers on a bus at the last stop after the given scenario.

Passengers

Initially, the 55-passenger bus is 40% filled, so the number of passengers is ...

0.40×55 = 22

At the first stop, 2 get on, so the number of passengers is ...

22 +2 = 24

At the second stop 1/3 get off and 9 get on, so the number is ...

24 - (1/3)24 +9 = 25

At the third stop 11 people get off, and 5 get on, so the number is ...

25 -11 +5 = 19

There were 19 passengers on the bus after the third stop.

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