https://file.aiquickdraw.com/mathbot/file/1728526697462risorp57.jpg

Let's break down the problem:

1. **Understanding the Requirement:**
   - Natalie needs at least 519 spoons in total.
   - She currently has 344 spoons.
   - If each set contains 10 spoons, we need to determine how many additional sets (\( x \)) are required.

2. **Setting up the Inequality:**
   Let \( x \) represent the number of sets Natalie needs to buy. Since each set contains 10 spoons, the number of spoons in \( x \) sets is \( 10x \).

   The total number of spoons after buying \( x \) sets would be:
   \[
   344 + 10x
   \]

   We want the total number of spoons to be at least 519. Therefore, the inequality is:
   \[
   344 + 10x \geq 519
   \]

3. **Solving the Inequality:**
   \[
   344 + 10x \geq 519
   \]
   Subtract 344 from both sides:
   \[
   10x \geq 175
   \]
   Divide both sides by 10:
   \[
   x \geq 17.5
   \]

   Since \( x \) represents the number of complete sets, it must be a whole number. Therefore, Natalie needs to buy at least 18 sets to ensure the restaurant has enough spoons.

4. **Final Answer:**
   The inequality is:
   \[
   x \geq 18
   \]

Do you want more details on how this was solved, or have any questions?

### Related Questions:
1. What if each set contained a different number of spoons?
2. How would the inequality change if Natalie only had 100 spoons initially?
3. What is the maximum number of sets Natalie should buy if there’s a storage limit of 600 spoons in total?
4. How would the equation change if the requirement increased to 600 spoons instead of 519?
5. Can you solve similar problems with other items, such as forks or knives?

### Tip:
When setting up inequalities, always double-check which side of the inequality your variable should be on to ensure the condition is met correctly!

Natalie needs to order some new supplies for the restaurant where she works. The restaurant needs at least 519 spoons. There are currently 344 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine x, the number of sets of spoons Natalie could buy for the restaurant to have enough spoons.

Learn how to set up and solve an inequality to determine the number of spoon sets Natalie should buy for her restaurant. This problem requires knowledge of basic algebra and inequalities, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation