Liam cleaned 21 windows per office building for a certain number of buildings. He also cleaned 42 windows of a school. Altogether, he cleaned 126 windows. How many office buildings did he clean? Identify the equation that could be used to solve this problem algebraically.(1 point)

Question

Responses

42x - 21 = 126
42x - 21 = 126

42x + 21 = 126
42x + 21 = 126

21x + 42 = 126
21x + 42 = 126

21x - 42 = 126

Answer 1

To find the number of office buildings Liam cleaned, let \( x \) be the number of office buildings. Since he cleaned 21 windows per office building, the total number of windows cleaned from the office buildings is \( 21x \). He also cleaned 42 windows from a school. Therefore, the total number of windows cleaned can be expressed as:

\[ 21x + 42 = 126 \]

Thus, the equation that could be used to solve this problem algebraically is:

21x + 42 = 126