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

h−5=42 and h=47, which is not viable.
h minus 5 equals 42 and h equals 47 , which is not viable.

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

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

1 answer

To determine the number of horses that the trainer can train given that she needs 5 treats per session and has a total of 42 mints, we can set up the equation:

\[ 5h = 42 \]

Where \( h \) represents the number of horses.

Solving for \( h \):

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

Since you cannot train a fraction of a horse, the result of 8.4 indicates that she cannot fully train 8 horses with a complete set of treats. Thus, the solution \( h = 8.4 \) is not viable since she cannot train part of a horse.

Looking at the provided responses:

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

This is the correct choice, as it accurately reflects the situation: 8.4 is not a viable option for the number of horses she can train.