Answer:
15n+5
Explanation:
To determine the number of slices of bread needed to fulfill the deli's order for the company picnic, we need to calculate the total number of sandwiches required and then multiply it by the number of slices each type of sandwich contains.
Let's break it down step by step:
1. For each person attending the picnic, the company wants three sandwiches: one club sandwich and two regular sandwiches. So, for $n$ people, we have $3n$ sandwiches in total.
2. A club sandwich has 3 slices of bread, and a regular sandwich has 2 slices. Therefore, the number of bread slices required for $3n$ sandwiches can be calculated as follows:
- For the $3n$ club sandwiches, we need $3 \times 3n$ slices of bread, which is $9n$ slices.
- For the $3n$ regular sandwiches, we need $2 \times 2 \times 3n$ slices of bread, which is $6n$ slices.
3. In addition to the club and regular sandwiches, the company wants just one Dagwood sandwich, which has 5 slices of bread.
4. To find the total number of slices of bread needed, we add up the slices needed for each type of sandwich:
- $9n$ slices for the club sandwiches
- $6n$ slices for the regular sandwiches
- 5 slices for the Dagwood sandwich
Therefore, the total number of slices of bread required is $9n + 6n + 5$, which can be simplified to $15n + 5$.
So, the fully simplified expression for the number of slices of bread needed by the deli to fulfill the order for the company picnic is $15n + 5$.