Jordan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 730 knives. There are currently 204 knives. If each set on sale contains 10 knives, write and solve an inequality which can be used to determine xx, the number of sets of knives Jordan could buy for the restaurant to have enough knives.

We are tasked with finding how many sets of knives Jordan should buy for the restaurant to have at least 730 knives. Here’s how to approach it:

### Step 1: Set up the inequality.

Let \( x \) represent the number of sets of knives Jordan needs to buy. Each set contains 10 knives, so the total number of knives Jordan will have from buying \( x \) sets is \( 10x \). 

The restaurant already has 204 knives, so the total number of knives after buying \( x \) sets would be:
\[
204 + 10x
\]
We know that the restaurant needs at least 730 knives. So, we write the inequality:
\[
204 + 10x \geq 730
\]

### Step 2: Solve the inequality.

1. Subtract 204 from both sides:
\[
10x \geq 730 - 204
\]
\[
10x \geq 526
\]

2. Divide both sides by 10:
\[
x \geq \frac{526}{10}
\]
\[
x \geq 52.6
\]

Since \( x \) must be a whole number (because you can't buy a fraction of a set), Jordan must buy at least **53 sets** of knives.

### Final Answer:
Jordan needs to buy at least 53 sets of knives to have enough.

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What if each set contained 12 knives instead of 10? How many sets would Jordan need?
2. How many knives would Jordan have if he bought 60 sets instead of 53?
3. What is the maximum number of knives Jordan could have if he buys 100 sets?
4. If the restaurant initially had 300 knives, how would the inequality change?
5. How would the result change if the goal was 1000 knives instead of 730?

**Tip:** When solving inequalities, always check whether you need to round up or down based on the situation!

Jordan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 730 knives. There are currently 204 knives. If each set on sale contains 10 knives, write and solve an inequality which can be used to determine x, the number of sets of knives Jordan could buy for the restaurant to have enough knives.

Solve an inequality to determine how many sets of knives Jordan should buy for his restaurant. Learn to set up and solve the inequality 204 + 10x ≥ 730, which involves basic algebra concepts. Suitable for Grades 6-8.

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