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

42x−21=126
42 x minus 21 equals 126

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

21x−42=126
21 x minus 42 equals 126

Answer 1

To solve the problem, we can let \( x \) represent the number of office buildings. Each office building can have its windows cleaned, which takes 21 windows worth of supplies. Since there is also a school with 42 windows, the total amount of windows cleaned can be represented as the sum of the windows cleaned from the office buildings and the school. The total amount of windows cleaned is given as 126.

The correct equation would be:

\[ 21x + 42 = 126 \]

So the final response is:

21x + 42 = 126