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)

Question

Responses

21x−42=126
21 x minus 42 equals 126

42x+21=126
42 x plus 21 equals 126

21x+42=126
21 x plus 42 equals 126

42x−21=126
42 x minus 21 equals 126

Answer 1

To solve the problem, we need to define \( x \) as the number of office buildings. Each office building can clean 21 windows, so the total number of windows cleaned from the office buildings is \( 21x \). In addition, the cleaner can also clean the windows of one school with 42 windows. The total number of windows cleaned (from both office buildings and the school) should equal 126.

The equation to represent this situation is:

\[ 21x + 42 = 126 \]

So, the correct response is:

21x + 42 = 126