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Yellow buses are late 1/6 of the time and green buses 1/8. A randomly boarded bus is late, and the chance it was green is 1/3. How many yellow buses are there per green bus?

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A town has yellow buses that are late 1/6 of the time and green buses that are late 1/8 of the time. Sophie boards a random bus and it is late. Given that, the chance that her bus was green is 1/3. How many yellow buses does the town have for each green one?

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