Subjects algebra

Fire Extinguishers Chairs B971E7

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1. **Problem 1:** Determine the number of fire extinguishers needed for a building with 135,000 square feet, given that one extinguisher is needed for every 6,000 square feet. 2. **Formula:** The number of extinguishers $x$ is given by dividing the total area by the area covered by one extinguisher: $$x = \frac{\text{total area}}{\text{area per extinguisher}}$$ 3. **Apply values:** $$x = \frac{135000}{6000}$$ 4. **Simplify:** $$x = \frac{\cancel{135000}}{\cancel{6000}} = 22.5$$ Since you cannot have half an extinguisher, round up to the next whole number: $$x = 23$$ 5. **Answer for Problem 1:** 23 fire extinguishers are needed. --- 6. **Problem 2:** Write an equation for the total number of chairs $c$ in $m$ meeting rooms, each with 325 chairs. 7. **Equation:** $$c = 325m$$ 8. **Given:** $m = 7$ 9. **Calculate total chairs:** $$c = 325 \times 7$$ 10. **Multiply:** $$c = 2275$$ 11. **Answer for Problem 2:** The total number of chairs is 2275.