To find the number of kids \( k \) at the reunion, we can set up the following equation based on the information provided:
The total number of watermelon slices handed out is the sum of the slices given to the kids and the slices given to the adults. Since there are 30 adults each receiving one slice, we can represent the total number of slices as follows:
\[ k + 30 = 75 \]
Where:
- \( k \) is the number of kids.
- 30 is the number of adults.
- 75 is the total number of watermelon slices.
To solve for \( k \), we can subtract 30 from both sides of the equation:
\[ k = 75 - 30 \]
Calculating the right side gives:
\[ k = 45 \]
Thus, there are 45 kids at the reunion.