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 washed? Identify the equation that would be used to solve this problem algebraically.
Let's assume the number of office buildings is x.
The number of windows in the office buildings is 21*x.
So the number of windows cleaned in the office buildings and the school is 21*x + 42.
According to the information given, this is equal to 126.
So, we can write the equation 21*x + 42 = 126.
The equation to solve this problem algebraically is 21x + 42 = 126.
Let's assume the number of office buildings is represented by the variable 'x'.
According to the problem, each office building has 21 windows, so the number of windows in the office buildings can be represented as 21x.
The school has 42 windows, so the total number of windows in the office buildings and school combined is 21x + 42.
The total number of windows that can be cleaned with the available supplies is given as 126.
So, the equation that represents this problem algebraically is:
21x + 42 = 126
To solve this problem algebraically, let's say the number of office buildings is represented by "x". We are told that each office building has 21 windows, so the total number of windows in the office buildings is 21x. The school has 42 windows. Therefore, the equation representing the total number of windows is:
21x + 42 = 126
To solve for x, we can subtract 42 from both sides:
21x = 126 - 42
21x = 84
Finally, we can divide both sides by 21 to solve for x:
x = 84 / 21
x = 4
Therefore, there are 4 office buildings that can be washed.