Question

A) A horse trainer has a bag of pink sugar mints for horse treats. She needs five treats per training
session. The bag holds 42 mints. Which equation shows the number of horses that she can train and is a
solution a viable option? (1 point)

Answer 1

To determine the number of horses that the trainer can train with the mints available, we need to calculate how many training sessions she can conduct based on the total number of mints.

Given:
- The total number of mints is 42.
- Each training session requires 5 mints.

We can set up the equation:

Let \( h \) be the number of horses (or training sessions). The equation would be:

\[ 5h \leq 42 \]

This represents that the total number of mints used (5 mints per horse session multiplied by the number of horses) cannot exceed the total number of mints available (42 mints).

Now, we can find out the maximum number of horses she can train by solving for \( h \):

\[ h \leq \frac{42}{5} \]

This simplifies to:

\[ h \leq 8.4 \]

Since the number of horses must be a whole number, the maximum viable option for \( h \) would be 8.

So, the equation that shows the number of horses that she can train is:

\[ 5h \leq 42 \]

And a viable solution within the context of whole numbers would be \( h = 8 \).