Question

Enola needs to order some new supplies for the restaurant where she works. The restaurant needs at least 767 spoons. There are currently 263 spoons. If each set on sale contains 12 spoons, use the drop-down menu below to write an inequality representing ss, the number of sets of spoons Enola should buy.

Answer 1

To find the inequality representing the number of sets of spoons (ss) that Enola should buy, we start by determining how many more spoons are needed.

1. Calculate the number of additional spoons needed: \[ 767 \text{ (minimum required spoons)} - 263 \text{ (current spoons)} = 504 \text{ (additional spoons needed)} \]

2. Determine how many sets of spoons are needed: Each set contains 12 spoons, so if Enola buys \( ss \) sets, she will have \( 12 \times ss \) additional spoons from these sets.

3. Set up the inequality: The total number of spoons after buying the sets should be at least 767: \[ 263 + 12 \cdot ss \geq 767 \]

4. Simplify the inequality: \[ 12 \cdot ss \geq 767 - 263 \] \[ 12 \cdot ss \geq 504 \]

5. Divide both sides by 12 to solve for \( ss \): \[ ss \geq \frac{504}{12} \] \[ ss \geq 42 \]

So, the inequality representing the number of sets of spoons Enola should buy is:

\( ss \geq 42 \)