To determine how many training sessions the horse trainer can conduct with the bag of pink sugar mint treats, we can set up an equation based on the information provided.
- Let \( x \) be the number of training sessions.
- Each session requires 5 treats.
- The bag contains 42 treats.
From this information, we can create the equation:
\[ 5x \leq 42 \]
This equation states that the total number of treats used (5 times the number of sessions, \( x \)) must be less than or equal to the number of treats available (42).
To find how many sessions \( x \) she can train, we can solve the inequality:
\[ x \leq \frac{42}{5} \] \[ x \leq 8.4 \]
Since \( x \) must be a whole number (you can't have a fraction of a training session), the maximum number of complete training sessions she can conduct is:
\[ x = 8 \]
So, the trainer can conduct 8 training sessions, using up \( 5 \times 8 = 40 \) treats, leaving her with 2 treats remaining.
Viable Solution:
The solution \( x = 8 \) is viable because it uses a whole number of treats (40), and it does not exceed the total number of treats available (42). If she were to attempt 9 sessions, she would need 45 treats, which is not possible.