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 42x−21=126 42 x minus 21 equals 126 21x−42=126 21 x minus 42 equals 126 21x+42=126 21 x plus 42 equals 126 42x+21=126 42 x plus 21 equals 126
The equation that would be used to solve this problem algebraically is:
21x + 42 = 126
To solve this problem algebraically, we can use the equation 21x + 42 = 126, where x represents the number of office buildings.
In this equation, 21x represents the number of windows cleaned in all the office buildings, and 42 represents the number of windows in the school. The sum of these two quantities, 21x + 42, should equal the total number of windows that can be cleaned, which is 126.
By solving this equation for x, we can determine the number of office buildings that can be washed.
To solve this problem algebraically, we need to identify the equation that represents the given information. Let's assume the number of office buildings is represented by the variable x.
According to the information given, one office building requires supplies to clean 21 windows, and there are enough supplies to clean 126 windows in total. Additionally, if we consider the school, it has 42 windows.
So, the equation that represents this situation is:
21x + 42 = 126
In this equation, 21x represents the number of windows cleaned in the office buildings (21 windows per building multiplied by the number of buildings), and adding 42 represents the additional 42 windows in the school. The sum should be equal to the total number of windows cleaned, which is 126.
By solving this equation, we can determine the value of x, which represents the number of office buildings that can be washed.