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

Answer 1

To determine how many office buildings (denoted as \( x \)) can be washed, we can set up an equation based on the information given.

The window cleaner can clean 21 windows per office building, so for \( x \) office buildings, the total number of windows cleaned would be \( 21x \). They can also clean the windows of a school with 42 windows.

The total number of windows cleaned (from office buildings and the school) is equal to 126:

\[ 21x + 42 = 126 \]

So, the correct equation to solve this problem algebraically is:

21x + 42 = 126