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.(1 point)
Responses
21x+42=126
21 x plus 42 equals 126
42x−21=126
42 x minus 21 equals 126
21x−42=126
21 x minus 42 equals 126
42x+21=126
To solve this problem algebraically, we need to identify the unknown quantity in the question, which is the number of office buildings that can be washed. Let's represent this unknown quantity as "x."
Since each office building requires supplies to clean 21 windows and there is a certain number of buildings, the total number of windows cleaned at the office buildings can be represented as 21x.
Additionally, there is a school with 42 windows that can be cleaned using the same supplies.
Now, we can write the equation: 21x + 42 = 126.
This equation represents the total number of windows that can be cleaned using the available supplies, which is equal to 126.
To solve for x, we can start by subtracting 42 from both sides of the equation:
21x + 42 - 42 = 126 - 42
21x = 84
To isolate x, we divide both sides of the equation by 21:
21x / 21 = 84 / 21
x = 4
Therefore, the equation that would be used to solve this problem algebraically is: 21x + 42 = 126.