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

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

21x−42=126
21 x minus 42 equals 126

42x−21=126
42 x minus 21 equals 126

21x+42=126

Answer 1

To find the number of office buildings that can be cleaned, we can let \( x \) represent the number of office buildings. Each office building has 21 windows, so the total number of windows cleaned for \( x \) office buildings would be \( 21x \). In addition, there is one school with 42 windows. The total number of windows cleaned from both buildings can be represented as:

\[ 21x + 42 = 126 \]

This means the correct equation to solve the problem is:

21x + 42 = 126.