A window cleaner has enough supplies to clean 21 windows per office building on a certain number of buildings. They can also clean the windows of a school with 42 windows. Altogether, there are enough supplies to clean 126 windows. How many office buildings can be
cleaned with the available supplies?
Let's assume the number of office buildings is x.
Therefore, the number of windows in all the office buildings is 21x.
Since there is also a school with 42 windows, the total number of windows is 21x + 42.
Given that there are enough supplies to clean 126 windows, we can write the equation 21x + 42 = 126.
Subtracting 42 from both sides of the equation, we get 21x = 126 - 42 = 84.
Dividing both sides of the equation by 21, we get x = 84/21 = 4.
Therefore, there are 4 office buildings that can be cleaned with the available supplies.
To solve this problem, we need to find the number of office buildings that can be cleaned.
Let's assume the number of office buildings is "x".
Since each office building has 21 windows, the total number of windows cleaned in the office buildings would be 21x.
Given that there is also a school with 42 windows, the total number of windows cleaned in the buildings and school would be 21x + 42.
And we know that this total number of windows is 126, so we can set up the equation:
21x + 42 = 126
Subtracting 42 from both sides:
21x = 126 - 42
21x = 84
Dividing both sides by 21:
x = 84 / 21
x = 4
Therefore, the window cleaner can clean the windows of 4 office buildings.
To solve this problem, we can use algebra. Let's start by assuming the number of office buildings is 'x'.
Since a window cleaner can clean 21 windows per office building, the total number of windows that can be cleaned in the office buildings is 21x.
In addition, the window cleaner can clean 42 windows in a school.
So, we can set up the equation:
21x + 42 = 126
To solve for x, we need to isolate the variable. First, we subtract 42 from both sides:
21x = 126 - 42
21x = 84
Next, we divide both sides by 21:
x = 84 / 21
x = 4
Therefore, there are enough supplies to clean 4 office buildings.