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 minus 21 equals 126

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

21x−42=126
21 x minus 42 equals 126

21x+42=126
21 x plus 42 equals 126
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Answer 1

To solve this problem, we need to set up an equation based on the information given. Let \( x \) represent the number of office buildings. The window cleaner can clean 21 windows per office building and can also clean the windows of one school that has 42 windows. Altogether, they can clean 126 windows, which gives us the following equation:

\[ 21x + 42 = 126 \]

So, the correct choice is:

21x + 42 = 126.