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.

Question

42x-21=126, 21x+42=126, 21x-42=126, 42x +21=126

Answer 1

To solve the problem, we need to account for the number of office buildings and the school windows. Let's define:

• \( x \): the number of office buildings
• Each office building has 21 windows
• The school has 42 windows

The total number of windows cleaned is given as 126. Therefore, we can express this as an equation:

\[ 21x + 42 = 126 \]

This equation represents the total number of windows cleaned from the office buildings and the school.

Now, based on the given options, the correct equation to solve this problem algebraically is:

21x + 42 = 126