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 minus 42 equals 126
21x+42=126
21 x plus 42 equals 126
42x−21=126
42 x minus 21 equals 126
42x+21=126
42 x plus 21 equals 126
Skip to navigation
To solve this problem, we need to set up an equation to represent the given information. Let's assign a variable to the unknown quantity, which is the number of office buildings that can be washed. Let's call this variable "x".
Based on the information given, we know that each office building has 21 windows. So, the total number of windows in all the office buildings would be 21 multiplied by the number of office buildings, which is 21x.
Additionally, we know that there is also a school with 42 windows. Therefore, the total number of windows to be cleaned is 21x + 42.
According to the problem, there is enough supplies to clean 126 windows. So, we can set up the equation as:
21x + 42 = 126
Now we just need to solve this equation to find the value of x.
The equation that would be used to solve this problem algebraically is:
21x + 42 = 126