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Answer :
To solve this problem, let's set up an equation to find out how many office buildings can be washed:
1. Identify Variables and Constants:
- Let [tex]\( x \)[/tex] be the number of office buildings.
- Each office building has 21 windows. Therefore, the total number of windows cleaned from office buildings is [tex]\( 21x \)[/tex].
- The school has 42 windows.
- In total, there are enough supplies to clean 126 windows.
2. Set Up the Equation:
- Combine the windows from the office buildings and the school: [tex]\( 21x + 42 \)[/tex].
- This must equal the total number of windows, which is 126:
[tex]\[ 21x + 42 = 126 \][/tex]
3. Choose the Correct Equation:
- The equation that represents this situation is [tex]\( 21x + 42 = 126 \)[/tex].
4. Solve the Equation (if required):
- You can solve for [tex]\( x \)[/tex] to find how many office buildings can be washed, but the problem primarily asks to identify the equation.
Therefore, the answer to the problem is: the equation used to solve this problem is [tex]\( 21x + 42 = 126 \)[/tex].
1. Identify Variables and Constants:
- Let [tex]\( x \)[/tex] be the number of office buildings.
- Each office building has 21 windows. Therefore, the total number of windows cleaned from office buildings is [tex]\( 21x \)[/tex].
- The school has 42 windows.
- In total, there are enough supplies to clean 126 windows.
2. Set Up the Equation:
- Combine the windows from the office buildings and the school: [tex]\( 21x + 42 \)[/tex].
- This must equal the total number of windows, which is 126:
[tex]\[ 21x + 42 = 126 \][/tex]
3. Choose the Correct Equation:
- The equation that represents this situation is [tex]\( 21x + 42 = 126 \)[/tex].
4. Solve the Equation (if required):
- You can solve for [tex]\( x \)[/tex] to find how many office buildings can be washed, but the problem primarily asks to identify the equation.
Therefore, the answer to the problem is: the equation used to solve this problem is [tex]\( 21x + 42 = 126 \)[/tex].
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