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 plus 42 equals 126 42x+21=126 42 x plus 21 equals 126 21x−42=126
Let's represent the number of office buildings as x. Since each office building has 21 windows, the total number of windows in the office buildings is 21x. The number of windows in the school is 42. Therefore, the equation that can be used to solve this problem algebraically is:
21x + 42 = 126
To solve this problem algebraically, let's focus on the given information.
We know that a window cleaner can clean 21 windows per office building, and there is a certain number of office buildings. This means that the number of office buildings can be represented by the variable x.
Similarly, we know that the window cleaner can clean 42 windows in a school.
Altogether, the window cleaner has enough supplies to clean 126 windows in total.
To find the number of office buildings that can be washed, we need to determine the value of x in the equation.
The equation that represents this problem is:
21x + 42 = 126
Explanation: In this equation, 21x represents the total number of windows cleaned in the office buildings (21 windows per building times x number of buildings). Adding 42 represents the 42 windows cleaned in the school. The sum of these should be equal to 126, which is the total number of windows cleaned.
By solving this equation, we can find the value of x, which represents the number of office buildings that can be washed.