A window cleaner has enough supplies to clean 21 windows per office building on a certain number of building. 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.
21x - 42 = 126
42x + 21 = 126
42x - 21 = 126
21x + 42=126
The equation that would be used to solve this problem algebraically is:
21x + 42 = 126
where x represents the number of office buildings.
The equation that would be used to solve this problem algebraically is 21x + 42 = 126.
To solve this problem algebraically, you can use the equation:
21x + 42 = 126
Here's how to interpret the equation:
- x represents the number of office buildings that can be washed.
- 21x is the total number of windows in the office buildings (since there are 21 windows per office building).
- 42 represents the number of windows in the school.
- 126 is the total number of windows that can be cleaned with the available supplies.
By setting up the equation as 21x + 42 = 126, you are essentially saying that the total number of windows in the office buildings plus the number of windows in the school should equal the total number of windows that can be cleaned.
Now, you can solve the equation to find the value of x, which represents the number of office buildings that can be washed. Here's how to solve it:
Subtract 42 from both sides of the equation to isolate the term with x:
21x = 126 - 42
Simplify the equation:
21x = 84
Finally, divide both sides of the equation by 21 to solve for x:
x = 84 / 21
The simplified equation gives you the answer:
x = 4
Therefore, 4 office buildings can be washed with the available supplies.
ya'll know who i am at this point, here are your answers lol
1. 15
2. 9
3. addition and multiplication
4. subtraction and multiplication
5. 21x + 42 = 126
hope this helps :)
-Sad-girl :)
(do me a favor and post these answers on other questions 😊)