College

Welcome to the article Juan needs to order new supplies for the restaurant where he works The restaurant needs at least 589 forks There are currently 313 forks If. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

Juan needs to order new supplies for the restaurant where he works. The restaurant needs at least 589 forks. There are currently 313 forks. If each set on sale contains 12 forks, which inequality can be used to determine [tex] s [/tex], the minimum number of sets of forks Juan should buy?

A. [tex] 589 \geq 12(313 + s) [/tex]
B. [tex] 589 \geq 12s + 313 [/tex]
C. [tex] 589 \leq 12s + 313 [/tex]
D. [tex] 589 \leq 12(313 + s) [/tex]

Answer :

To determine the minimum number of sets of forks Juan should buy, let's break down the problem step by step:

1. Understand the Requirements:
- The restaurant needs at least 589 forks.
- There are currently 313 forks at the restaurant.

2. What's Missing:
- To find out how many more forks are needed, subtract the number of current forks from the total needed:
[tex]\[
589 - 313 = 276
\][/tex]
So, 276 more forks are needed.

3. Buying Forks in Sets:
- Each set on sale contains 12 forks.
- We need to find out how many sets ([tex]\(s\)[/tex]) are required to get at least 276 additional forks. This is represented by the inequality:
[tex]\[
12s \geq 276
\][/tex]

4. Solve for [tex]\(s\)[/tex]:
- To find the minimum number of sets, divide both sides of the inequality by 12:
[tex]\[
s \geq \frac{276}{12}
\][/tex]
- Calculating the right side gives:
[tex]\[
s \geq 23
\][/tex]

This means Juan needs to buy at least 23 sets of forks.

Therefore, the correct inequality is B. [tex]\(589 \geq 12s + 313\)[/tex], and solving this inequality confirms that Juan should buy a minimum of 23 sets to meet the restaurant's requirement.

Thank you for reading the article Juan needs to order new supplies for the restaurant where he works The restaurant needs at least 589 forks There are currently 313 forks If. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Brahmana