Subjects algebra

Fare Ratio 454A68

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1. **Problem:** The ratio of first and second class fares between two stations is 5:3, and the ratio of passengers traveling in first and second class is 2:11. Total fare collected is 8600. Find the fare collected from second class passengers. 2. **Formula and Explanation:** - Let first class fare be $5x$ and second class fare be $3x$. - Let number of first class passengers be $2y$ and second class passengers be $11y$. - Total fare collected: $5x \times 2y + 3x \times 11y = 8600$. 3. **Work:** $$10xy + 33xy = 8600$$ $$43xy = 8600$$ $$xy = \frac{8600}{43} = 200$$ 4. **Fare from second class passengers:** $$3x \times 11y = 33xy = 33 \times 200 = 6600$$ **Answer:** Fare from second class passengers is 6600.