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 find the number of horses that the trainer can train with the treats she has, we can denote the number of horses she can train as \( h \). Since she needs 5 treats per training session, the total number of treats needed for \( h \) horses would be \( 5h \).

Given that she has a total of 42 mints, we can set up the following equation:

\[ 5h \leq 42 \]

Now, to find the maximum number of horses \( h \) she can train, we can divide both sides by 5:

\[ h \leq \frac{42}{5} = 8.4 \]

Since the number of horses must be a whole number, we can conclude that she can train a maximum of 8 horses.

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

\[ 5h \leq 42 \]

The viable solutions for \( h \) are non-negative whole numbers less than or equal to 8, specifically \( h = 0, 1, 2, 3, 4, 5, 6, 7, \) or \( 8 \).