Sure, let's solve this step by step.
Step 1: Understand the total amount of popcorn.
- Neale buys a large box of popcorn. Let's denote the total amount of popcorn by [tex]\( p \)[/tex].
Step 2: Determine how much popcorn Neale keeps for himself.
- Neale keeps half of the popcorn for himself. So, the amount of popcorn Neale keeps is [tex]\( \frac{p}{2} \)[/tex].
Step 3: Calculate the leftover amount of popcorn.
- Since Neale keeps half of the popcorn, the remaining amount of popcorn is also [tex]\( \frac{p}{2} \)[/tex].
Step 4: Divide the remaining popcorn among [tex]\( n \)[/tex] people.
- The remaining [tex]\( \frac{p}{2} \)[/tex] amount of popcorn is to be evenly distributed among [tex]\( n \)[/tex] people.
Therefore, the amount of popcorn each person receives is given by:
[tex]\[
\text{Amount each person receives} = \frac{\text{Remaining popcorn}}{\text{Number of people}} = \frac{\frac{p}{2}}{n} = \frac{p}{2n}
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{\frac{p}{2n}}
\][/tex]
The correct choice is:
D) [tex]\(\frac{p}{2 n}\)[/tex]
