Question

It is recommended that one fire extinguisher be available for every 6,000 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 135,000 square feet.

Answer 1

135,000 divided by 6,000 =x x=22.5 so 23 fire extinguishers are needed in a building with 135,000 square feet

Answer 2

`6000x=135000`

23 fire extinguisher.

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:

`6000x=135000`

Therefore, the equation
`6000x=135000` 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.

`(6000x)/(6000)=(135000)/(6000)`

`x=(135)/(6)`

`x=22.5`

Since we can not have 0.5 of a fire extinguisher, so we will round up our answer as:

`x\approx 23`

Therefore, 23 fire extinguisher are needed for the building.