Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine xx, the minimum number of sets of spoons Lincoln should buy?
Answer
Multiple Choice Answers
8, x, plus, 388, is greater than or equal to, 6828x+388≥682
682, is less than or equal to, 8, plus, 388, x682≤8+388x
682, is greater than or equal to, 8, plus, 388, x682≥8+388x
8, x, plus, 388, is less than or equal to, 6828x+388≤682

To determine the minimum number of sets of spoons Lincoln should buy, let's break it down:

- Lincoln needs at least **682 spoons** in total.
- There are currently **388 spoons** available.
- Each set contains **8 spoons**.
- Let **x** represent the number of sets Lincoln needs to buy.

The total number of spoons Lincoln will have after buying \( x \) sets can be represented as:
\[
8x + 388
\]

Since Lincoln needs at least **682 spoons**, this total should be **greater than or equal to** 682:
\[
8x + 388 \geq 682
\]

This inequality represents the minimum number of sets of spoons Lincoln should buy.

### The correct answer is: 
\[
\boxed{8x + 388 \geq 682}
\]

Would you like more details on how to solve the inequality?

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Here are 5 related questions for further practice:
1. How would you solve the inequality \(8x + 388 \geq 682\) to find the value of \(x\)?
2. What is the minimum number of sets Lincoln needs to buy?
3. If each set contained 10 spoons instead of 8, how would the inequality change?
4. If Lincoln already had 500 spoons, how would the inequality change?
5. How many spoons would Lincoln have if he bought 20 sets?

**Tip:** Always start by setting up an equation or inequality that reflects the problem’s conditions before solving!

Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine x, the minimum number of sets of spoons Lincoln should buy?

Learn how to solve the inequality 8x + 388 ≥ 682 to determine the minimum number of spoon sets Lincoln should buy for the restaurant. This problem covers key algebraic concepts such as inequalities and linear equations. Suitable for students in Grades 6-8.

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