Get on get off
Algebra
Level
1
There are 40 passengers on a bus. At the first bus stop, 10 passengers got off and 4 passengers got on. At the second bus stop, 3 passengers got off and 13 passengers got on. How many passengers are there on the bus now?
The answer is 44.
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1 solution
At the first bus stop, since 10 passengers got off, there are 4 0 − 1 0 = 3 0 passengers. Adding the 4 passengers that got on, there are 3 0 + 4 = 3 4 passengers on the bus.
Similarly, at the second bus stop, 3 passengers got off so there are 3 4 − 3 = 3 1 passengers. Adding the 13 passengers that got on, there are 3 1 + 1 3 = 4 4 passengers on the bus.
Note on clarification: It doesn't matter if "people" or "passengers" were used, the above proof works replacing one word for the other.