A train has 11 train cars. At least 11 passengers are in each train car. No 3 neighboring train cars have more than 50 passengers altogether. What is the maximum possible number of people on the train?

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05-12-2021
Mathematics

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A train has 11 train cars. At least 11 passengers are in each train car. No 3 neighboring train cars have more than 50 passengers altogether. What is the maximum possible number of people on the train?

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francocanacari francocanacari · Answer 1 · 2021-12-06T10:24:48+01:00

The maximum possible number of people on the train is 183.

Given that a train has 11 train cars, and at least 11 passengers are in each train car, and no 3 neighboring train cars have more than 50 passengers altogether, to determine what is the maximum possible number of people on the train, the following calculation must be done:

50/3 = 16.66
16 + 17 + 17 = 50
16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 = X
16 x 4 + 17 x 7 = X
64 + 119 = X
183 = X

Therefore, the maximum possible number of people on the train is 183.

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27sanker2 27sanker2 · Answer 2 · 2021-12-07T03:22:16+01:00

27sanker2 27sanker2

07-12-2021

Answer:

189

Step-by-step explanation:

Set up 11 slots on a piece of paper, to simplify since each car must have 11 cars we will be alternating 28,11,11 in a repeated pattern thus getting us 28,11,11,28,11,11,28,11,11,28,11 when you add them up you get 189

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