Christopher needs to order some new supplies for the restaurant where he works. The restaurant needs at least 775 spoons. There are currently 355 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Christopher could buy for the restaurant to have enough spoons.

Let's define the inequality for this situation.

Christopher needs at least 775 spoons, and the restaurant currently has 355 spoons. Each set contains 10 spoons. Let \( s \) represent the number of sets of spoons Christopher needs to buy. 

The inequality to represent this situation is:

\[
355 + 10s \geq 775
\]

### Step-by-step solution:

1. **Subtract 355 from both sides:**

\[
10s \geq 775 - 355
\]

\[
10s \geq 420
\]

2. **Divide both sides by 10 to isolate \( s \):**

\[
s \geq \frac{420}{10}
\]

\[
s \geq 42
\]

### Conclusion:
Christopher needs to buy at least 42 sets of spoons to have enough for the restaurant.

Would you like more details on any part of this? Here are some related questions:

1. How would the inequality change if each set contained 15 spoons?
2. What if Christopher also needed to account for potential broken spoons?
3. How many spoons will the restaurant have after buying 50 sets?
4. What if the restaurant's target was exactly 775 spoons and not "at least" 775?
5. How would this inequality look if Christopher already had 500 spoons?

**Tip:** Inequalities are useful when you're dealing with minimum or maximum conditions, rather than exact values.

Christopher needs to order some new supplies for the restaurant where he works. The restaurant needs at least 775 spoons. There are currently 355 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine the number of sets of spoons Christopher could buy for the restaurant to have enough spoons.

Learn how to solve an inequality to determine the number of sets of spoons Christopher needs to buy for his restaurant. The problem involves understanding algebraic inequalities and basic operations with numbers. Suitable for students in Grades 6-8.

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