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) 5h = 42 , so h = 8.4 horses , which is viable. h - 5 = 42 and h = 47 which is not viable h/5 = 42 and h = 210 which is not viable 5h = 42 so h = 8.4 horses, which is not viable

Answer 1

Let's break down the situation:

1. The horse trainer has 42 mints and needs 5 treats per training session for each horse.
2. We want to find out how many horses (h) she can train with the mints.

The correct equation to represent this situation is:

\[ 5h = 42 \]

Where:

• \( h \) is the number of horses.
• The left side of the equation (5h) represents the total number of treats needed for \( h \) horses.

Now solving for \( h \):

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

Since \( h \) represents the number of horses, it must be a whole number (you can't train a fraction of a horse). Thus, \( h = 8.4 \) horses is not a viable solution because you cannot train a fraction of a horse.

Summary of Other Equations:

1. \( h - 5 = 42 \) and solving gives \( h = 47 \), which is not relevant to our situation.
2. \( h/5 = 42 \) leads to \( h = 210 \), which is also not a viable solution as it suggests treating more horses than treats available.

Conclusion:

The only viable equation is \( 5h = 42 \), but the resulting value of \( h = 8.4 \) is not viable since we cannot have a fraction of a horse. Therefore, the practical solution is \( h = 8 \) horses, with 2 mints remaining (meaning she can only fully train 8 horses).