To determine the number of horses that the trainer can train, you can use the equation based on the number of mints available and the number of mints required per horse per training session.
Given:
- Each training session requires 5 treats.
- The total number of mints in the bag is 42.
Let \( h \) represent the number of horses she can train. The equation representing the situation would be:
\[ 5h \leq 42 \]
To find the maximum number of horses she can train, we can solve this inequality:
\[ h \leq \frac{42}{5} = 8.4 \]
Since \( h \) must be a whole number (you can't train a fraction of a horse), we round down to the nearest whole number:
\[ h \leq 8 \]
Thus, the maximum number of horses she can train for a single session is 8.
To check if this solution is viable, we can see that if she trains 8 horses, the total number of treats needed would be:
\[ 5 \times 8 = 40 \]
Since 40 mints are less than 42, this is a viable option. She will have 2 mints left over after training 8 horses.
In conclusion:
- The equation is \( 5h \leq 42 \).
- A viable solution is \( h = 8 \) (she can train 8 horses).
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