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
−
42
=
126
21 x minus 42 equals 126

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

42x−21=126
42
𝑥
−
21
=
126
42 x minus 21 equals 126

42x+21=126.

Answer 1

To find the number of office buildings that can be washed, let \( x \) represent the number of office buildings.

The window cleaner can clean 21 windows per office building, so the total number of windows cleaned from the office buildings would be \( 21x \). Since there are also 42 windows in the school that needs cleaning, the equation representing the total number of windows cleaned will be:

\[ 21x + 42 = 126 \]

This is the correct equation to use to solve the problem.

Therefore, the correct response is:

21x + 42 = 126