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. 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. 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.

1 answer

To determine how many horses the trainer can train with the mints she has, we can reason through the problem step by step.

  1. The trainer has 42 mints and needs 5 treats per horse per training session.
  2. To find the number of horses she can train (h), we take the total number of mints (42) and divide it by the number of mints needed per horse (5).

So we can set up the equation:

\[ 5h = 42 \]

To find h, we can solve for h:

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

Since the number of horses must be a whole number, she cannot train 8.4 horses. Thus, the only viable solution would involve rounding down to 8 horses, which does not appear in your responses.

Among the presented options, the calculation shows that:

  • \( 5h = 42 \) results in \( h = 8.4 \), which is not viable, because you can't train a fraction of a horse.

The best response from your options seems to be: "5h=42, so h=8.4 horses, which is not viable."

If that exact phrasing is not listed, then the phrasing "5h=42, so h=8.4 horses, which is not viable." is appropriate and correctly represents the situation.