A horse trainer has a bag of Pink sugar mints for horse treats she needs five treats per train session the bag holds 42 minutes which equation shows the number of horses that she can train and is a solution a viable option

Answer 1

To determine the number of horses the trainer can train based on the treats available, we can use the following equation:

Let \( x \) be the number of training sessions (or horses) that the trainer can accommodate.

Since she needs 5 treats per training session and has a total of 42 treats, we can write the equation:

\[ 5x \leq 42 \]

To find out how many horses (or training sessions) she can train, we can solve for \( x \):

\[ x \leq \frac{42}{5} \] \[ x \leq 8.4 \]

Since the number of horses has to be a whole number, the maximum number of horses she can train is 8.

So, the solution to the problem is \( x = 8 \), which is a viable option because she will use \( 5 \times 8 = 40 \) mints, leaving her with 2 mints, which is still a valid situation as no treats are wasted.

Thus, the equation \( 5x \leq 42 \) correctly models the situation, and \( x = 8 \) is a viable solution.