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
21 x plus 42 equals 126

Answer 1

To determine how many office buildings (let's call that number \( x \)) can be washed, we set up the equation based on the total number of windows that can be cleaned.

The window cleaner can clean \( 21 \) windows per office building, thus for \( x \) office buildings, the total windows cleaned would be \( 21x \). Additionally, they can clean \( 42 \) windows for one school.

Together, the total number of windows cleaned is \( 21x + 42 \), and the total number of windows that can be cleaned is \( 126 \). Therefore, the equation we can use is:

\[ 21x + 42 = 126 \]

So, the correct response is:

21x + 42 = 126