Sure, let's break down the problem step-by-step:
1. Initial Number of Lollipops: Carlos starts with 83 lollipops.
2. Distribution to Friends: Carlos gives away 3 lollipops to each of his friends.
3. Number of Friends: Let's denote the number of friends Carlos gave lollipops to as [tex]\( l \)[/tex].
To form an expression representing the number of lollipops Carlos has left, we need to calculate how many lollipops he gave away in total and subtract that from the initial amount.
4. Total Lollipops Given Away: If Carlos gives 3 lollipops to each of his [tex]\( l \)[/tex] friends, he gives away [tex]\( 3 \times l \)[/tex] lollipops in total.
5. Remaining Lollipops: To find the remaining lollipops Carlos has, we subtract the total lollipops given away from the initial amount.
Thus, the expression for the number of lollipops Carlos has now is:
[tex]\[ 83 - 3l \][/tex]
Now, let's match this with the given options:
- Option A: [tex]\( 3l - 83 \)[/tex]
- Option B: [tex]\( 831 - 3 \)[/tex]
- Option C: [tex]\( 83 - 3 \)[/tex]
- Option D: [tex]\( 83 - 3l \)[/tex]
The correct expression is [tex]\( 83 - 3l \)[/tex], which corresponds to Option D.
Therefore, the answer is [tex]\( \boxed{D} \)[/tex].
