A city recently opened a new tram line. By the end of the first week, 100 passengers had taken the tram.The number of passengers that take the tram during the week triples every week. So far, a total of 4,000 passengers have taken the tram since it opened.How many weeks has it been since the tram opened?
Question
A city recently opened a new tram line. By the end of the first week, 100 passengers had taken the tram.The number of passengers that take the tram during the week triples every week. So far, a total of 4,000 passengers have taken the tram since it opened.How many weeks has it been since the tram opened?
Solution
To solve this problem, we need to understand that the number of passengers triples every week.
- In the first week, there were 100 passengers.
- In the second week, the number of passengers tripled to 300 (100 * 3).
- In the third week, the number of passengers tripled again to 900 (300 * 3).
- In the fourth week, the number of passengers tripled once more to 2700 (900 * 3).
By adding the number of passengers from each week together (100 + 300 + 900 + 2700), we find that a total of 4000 passengers have taken the tram.
Therefore, it has been 4 weeks since the tram opened.
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