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The problem asks us to determine the number of bags of sand \( x \) that Tim can pour into the sandbox before it becomes too full.

### Step 1: Identify the inequality
We know:
- The sandbox can hold up to 25 cubic feet of sand.
- Each bag of sand contains 0.5 cubic feet of sand.

Let \( x \) represent the number of bags of sand Tim can use. The total volume of sand would be \( 0.5x \), and we need to ensure that this total does not exceed 25 cubic feet.

Thus, the inequality is:
\[
0.5x \leq 25
\]
The correct inequality is \( 0.5x \leq 25 \), since we want to keep the total volume less than or equal to the capacity of the sandbox.

### Step 2: Solve the inequality
To find the number of bags \( x \), divide both sides of the inequality by 0.5:
\[
x \leq \frac{25}{0.5} = 50
\]

### Final Answer:
Tim can pour at most **50 bags** of sand into the sandbox.

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Would you like more details on any step?

Here are five related questions you might find helpful:
1. What would happen if the capacity of the sandbox increased to 30 cubic feet?
2. How would you set up the inequality if each bag of sand contained 0.4 cubic feet instead?
3. What if Tim had already poured 10 cubic feet of sand into the sandbox—how many more bags could he add?
4. How would the solution change if the sandbox could hold exactly 25 cubic feet rather than at most 25 cubic feet?
5. How can you model this inequality graphically?

**Tip:** When solving inequalities, always check whether you need to reverse the inequality sign, especially when multiplying or dividing by negative numbers!

Tim is filling a new sandbox with play sand. The sandbox can hold up to 25 cubic feet of sand before it's too full. The sand Tim needs comes in bags containing 0.5 cubic feet of sand. Let x represent how many bags of sand Tim can pour into the sandbox before it's too full. Which inequality describes the problem?

Learn how to solve the inequality 0.5x ≤ 25 to find the maximum number of sandbags Tim can pour into a sandbox. This problem covers key algebraic concepts, such as inequalities and linear equations, suitable for Grades 6-8.

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