Answer:
[tex]6000x=135000[/tex]
23 fire extinguisher.
Step-by-step explanation:
Let x be the number of fire extinguishers.
We have been given that one fire extinguisher be available for every 6,000 square feet in a building. So the total area covered by x extinguisher will be 6,000x.
Since the building has an area of 135,000 square feet. This means that that total area covered by x extinguisher is 135,000 square feet. We can represent this information in an equation as:
[tex]6000x=135000[/tex]
Therefore, the equation [tex]6000x=135000[/tex] represents the number of fire extinguishers needed for a building that has 135,000 square feet.
Now we will solve for by dividing both sides of our equation by 6000.
[tex]\frac{6000x}{6000}=\frac{135000}{6000}[/tex]
[tex]x=\frac{135}{6}[/tex]
[tex]x=22.5[/tex]
Since we can not have 0.5 of a fire extinguisher, so we will round up our answer as:
[tex]x\approx 23[/tex]
Therefore, 23 fire extinguisher are needed for the building.
