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The problem asks to determine the inequality that represents the minimum number of spoon sets Paisley should buy, given:

- The restaurant needs at least **521 spoons**.
- They currently have **225 spoons**.
- Each set contains **15 spoons**.

Let \( s \) represent the number of sets Paisley needs to buy. 

### Steps:

1. Paisley already has 225 spoons.
2. By buying \( s \) sets of spoons, she will add \( 15s \) spoons to the current 225 spoons.
3. The total number of spoons will be \( 225 + 15s \), and this must be **at least 521** spoons, meaning \( 225 + 15s \geq 521 \).

### Setting up the inequality:

\[
225 + 15s \geq 521
\]

This inequality matches with one of the options provided: \( 15s + 225 \geq 521 \).

Thus, the correct answer is:  
**Option 2: \( 15s + 225 \geq 521 \)**

Would you like more details or have any other questions?

Here are 5 related questions to further explore this problem:

1. How many sets of spoons does Paisley need to buy to meet the spoon requirement?
2. What if the restaurant needed 600 spoons instead of 521? How would the inequality change?
3. How can we solve the inequality \( 225 + 15s \geq 521 \) for \( s \)?
4. If the number of spoons per set increased to 20, how would the inequality change?
5. What is the smallest integer value for \( s \) that satisfies the inequality?

**Tip:** When solving inequalities, remember that the inequality sign flips if you multiply or divide by a negative number.

Paisley needs to order some new supplies for the restaurant where she works. The restaurant needs at least 521 spoons. There are currently 225 spoons. If each set on sale contains 15 spoons, which inequality can be used to determine s, the minimum number of sets of spoons Paisley should buy?

Learn how to solve a word problem involving the inequality 225 + 15s ≥ 521 to determine the minimum number of sets of spoons Paisley should buy. Ideal for students in Grades 7-9, this problem covers key algebraic concepts like inequalities and word problem-solving techniques.

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