Certainly! Let's solve this step-by-step:
1. Determine the Total Number of Photographs Melissa Took:
Melissa initially took [tex]\(5n\)[/tex] photographs. This is given in the problem.
[tex]\[
\text{Total photographs} = 5n
\][/tex]
2. Calculate the Number of Photographs Given Away:
Melissa gives [tex]\(n\)[/tex] photographs to each of her three friends. Therefore, the total number of photographs she gives away is:
[tex]\[
\text{Photographs given away} = 3 \times n = 3n
\][/tex]
3. Calculate the Number of Photographs Left:
To find out how many photographs Melissa has left, we subtract the number of photographs given away from the total number of photographs she initially had:
[tex]\[
\text{Photographs left} = 5n - 3n = 2n
\][/tex]
So, the number of photographs Melissa will have left is [tex]\(2n\)[/tex].
4. Compare with the Given Options:
Let's check the given options and see which one matches our result:
- (A) [tex]\(2n\)[/tex]
- (B) [tex]\(3n\)[/tex]
- (C) [tex]\(4n - 3\)[/tex]
- (D) [tex]\(4n + 3\)[/tex]
Option (A) [tex]\(2n\)[/tex] matches our result.
Therefore, the correct answer is:
[tex]\[
\boxed{2n}
\][/tex]
