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

42x−21=126
42 x minus 21 equals 126

21x+42=126

Answer 1

To solve the problem, let's define \( x \) as the number of office buildings. The window cleaner can clean 21 windows per office building, so the total number of windows cleaned from \( x \) office buildings is \( 21x \). Additionally, there is also one school with 42 windows to be cleaned.

The total number of windows cleaned is the sum of the windows from the office buildings and the school, which should equal 126.

Thus, the equation would be:

\[ 21x + 42 = 126 \]

So, the correct response is:

21x + 42 = 126