To determine the number of horses that the trainer can train based on the number of mints and the number of treats needed per session, we can set up the following equation:
Let \( h \) be the number of horses that she can train. The number of treats needed for \( h \) horses is given by:
\[ 5h \]
Since there are 42 mints available, we can set up the equation:
\[ 5h \leq 42 \]
To find the maximum number of horses she can train, we can solve for \( h \):
\[ h \leq \frac{42}{5} \]
Calculating this gives:
\[ h \leq 8.4 \]
Since \( h \) must be a whole number (you can't train a fraction of a horse), the largest viable whole number is 8.
Thus, the number of horses she can train is:
\[ h = 8 \]
In conclusion, the equation that represents the situation is:
\[ 5h \leq 42 \]
And a viable solution for the number of horses \( h \) is 8.