139,088 views
37 votes
37 votes
There are some people on a train

18 get off at the first stop and 21 people get on the train
now there are 65 people on the train
how many were on the train to begin with

User Jeff Widmer
by
2.7k points

1 Answer

19 votes
19 votes

Answer: 62

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Step-by-step explanation:

18 people get off, and 21 get on

We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.

The net change is -18+21 = +3 or simply 3.

After the first stop, 3 more people are on the train compared to before reaching this stop.

If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.

x+3 = 65

x = 65-3

x = 62 people were on the train to begin with.

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Check:

62 people to start off

62-18 = 44 people after the 18 people get off

44+21 = 65 people after the 21 new people get on

The answer is confirmed.

User Aaron McMillin
by
3.1k points