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High-sulfur oil samples in a container

Middle school · ●●○○○ 20 pts

A container designed for 300 oil samples is almost completely full. Each sample is either low-sulfur or high-sulfur, and either light or heavy. The relative frequency of heavy oil samples is 18\frac{1}{8}, and the relative frequency of light low-sulfur oil samples is 2237\frac{22}{37}. Assume the total number of samples is the largest number not exceeding 300 that is consistent with these frequencies. Assume there are no low-sulfur samples among the heavy samples. How many high-sulfur oil samples are in the container?

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