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 all together. There are enough supplies to clean 126 windows how many office builders can be washed identify the equation that would be used to solve this problem algebraically

Question

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 all together. There are enough supplies to clean 126 windows how many office builders can be washed identify the equation that would be used to solve this problem algebraically

Answer 1

Let's say the number of office buildings is x and the number of windows in each office building is y.

According to the problem, the cleaner can clean 21 windows per office building. So, the total number of windows in all office buildings would be 21x.

Additionally, the cleaner can clean the windows of a school with 42 windows.

The total number of windows the cleaner can clean with the supplies is given as 126.

Therefore, the equation that represents this information is:
21x + 42 = 126

Answer 2

To solve this problem algebraically, let's assume the number of office buildings is represented by the variable 'x'.

We know that the window cleaner can clean 21 windows per office building. Therefore, the total number of windows cleaned in the office buildings alone would be 21 times the number of buildings, which can be written as: 21x.

We are also given that the window cleaner can clean the windows of a school with 42 windows altogether. So, the total number of windows cleaned in the school is 42.

And finally, it is mentioned that there are enough supplies to clean 126 windows in total.

Now, to set up the equation, we need to add up the total number of windows cleaned in the office buildings and the school, which should be equal to the total number of windows cleaned with the available supplies. Therefore,
21x + 42 = 126

This is the equation that can be used to solve the problem algebraically.

Answer 3

Let's let the number of office buildings be "x".

Based on the information given, we know that the window cleaner can clean 21 windows per office building. So the total number of windows cleaned in the office buildings would be 21x.

The window cleaner can also clean the windows of a school with 42 windows in total.

All together, the window cleaner can clean 126 windows.

So, the algebraic equation that represents this information would be:
21x + 42 = 126