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An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:00 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?

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Answer:

18

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

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