Question 1 of 2:

Container A and container B are both leaking water. Container A started with 800 L of water, but is leaking at 6 L per minute. Container B started with one thousand liters of water, but is leaking 10 L per minute.

How many minutes will it take for the two containers to have the same amount of water?

Write the equation in the box below.

*Use 'm' as your variable.

*Use the format Container A = Container B

To solve this problem, let's set up an equation to model the situation where the water levels in both containers become equal after a certain number of minutes.

- Container A starts with 800 liters and leaks 6 liters per minute.
  So, after \( m \) minutes, the amount of water left in Container A is:
  \[
  800 - 6m
  \]

- Container B starts with 1000 liters and leaks 10 liters per minute.
  So, after \( m \) minutes, the amount of water left in Container B is:
  \[
  1000 - 10m
  \]

We want to find the number of minutes \( m \) where the two amounts of water are the same, so we set the two expressions equal to each other:

\[
800 - 6m = 1000 - 10m
\]

This is the equation you are looking for. Would you like to go over the steps to solve it?

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**Relative questions:**
1. What will the water levels be after 5 minutes in both containers?
2. If the containers keep leaking, which one will run out of water first?
3. How can you solve the equation \( 800 - 6m = 1000 - 10m \)?
4. What happens to the water level in Container A if it stops leaking after 20 minutes?
5. How much water does Container B lose after 15 minutes?

**Tip:** Always check the units of your variables to ensure consistency throughout the problem.

Container A and container B are both leaking water. Container A started with 800 L of water, but is leaking at 6 L per minute. Container B started with one thousand liters of water, but is leaking 10 L per minute. How many minutes will it take for the two containers to have the same amount of water? Write the equation in the box below. *Use 'm' as your variable. *Use the format Container A = Container B

Solve the linear equation to determine when two leaking containers will have the same amount of water. Container A starts with 800 L and leaks at 6 L/min, while Container B starts with 1000 L and leaks at 10 L/min. Learn step-by-step how to set up and solve this algebraic problem. Suitable for Grades 6-8 students.

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