In an office building, 51 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
Take 51 divided by three to find ten percent, that is 17, then multiply that by ten to find 100 percent. The answer is 170.
To find the total number of offices in the building, we need to determine the whole or total.
Let's assume that the total number of offices in the building is represented by "x".
The information given states that 51 offices are currently being rented, which represents 30% of the total.
We can set up an equation to represent this information:
30% of x = 51
To solve for x, we need to convert the percentage to a decimal by dividing it by 100:
0.30x = 51
Next, we isolate x by dividing both sides of the equation by 0.30:
x = 51 / 0.30
Now, we can calculate the value of x:
x ≈ 170
So, there are approximately 170 offices in the building.
To find out the total number of offices in the building, we need to use the fact that 51 offices represent 30% of the total units.
Step 1: Convert the percentage 30% to decimal form by dividing it by 100:
30 / 100 = 0.30
Step 2: Now, let's set up a proportion to find the total number of offices. We'll compare the rented offices (51) to the total offices (unknown), using the proportion:
51 / x = 0.30 / 1
Step 3: Solve the proportion by cross-multiplying:
51 * 1 = x * 0.30
Step 4: Simplify:
51 = 0.30x
Step 5: Divide both sides of the equation by 0.30 to solve for x:
51 / 0.30 = x
Step 6: Use a calculator to perform the division:
x ≈ 170
Therefore, there are approximately 170 offices in the building.
30% of x = 51
.30 x = 51
divide 51 by .30 to find the total number of offices in the bldg.