Question

Question

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)
Responses

h5=42 and h=210, which is not viable.
Start Fraction h over 5 End Fraction equals 42 and h equals 210 , which is not viable.

5h=42, so h=8.4 horses, which is not viable.
5 h equals 42 , so h equals 8.4 horses, which is not viable.

5h=42, so h=8.4 horses, which is viable.
5 h equals 42 , so h equals 8.4 horses, which is viable.

h−5=42 and h=47, which is not viable.

Answer 1

To find the number of horses the trainer can train, we can set up the equation based on the information given:

Let \( h \) be the number of horses that can be trained. Since each horse requires 5 mints for a training session, the equation becomes:

\[ 5h = 42 \]

Now, to solve for \( h \):

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

Since the number of horses must be a whole number, and you cannot train a fraction of a horse, the solution \( h = 8.4 \) is not viable.

Thus, the correct formulation and conclusion is:

5h = 42, so h = 8.4 horses, which is not viable.

This means that the horse trainer can train a maximum of 8 horses (using 40 mints) and will have 2 mints left over, which limits her from training a 9th horse.