A herd of 88 horses has 31 white and some black horses. What is the ratio of black

horses to all horses? What is the total number of horses in the herd?

1 answer

To determine the total number of horses in the herd and the ratio of black horses to all horses, we start with the information provided:

  • Total number of horses: 88
  • Number of white horses: 31

We can find the number of black horses by subtracting the number of white horses from the total:

\[ \text{Number of black horses} = \text{Total horses} - \text{White horses} = 88 - 31 = 57 \]

Now we have 57 black horses.

Next, we can find the ratio of black horses to all horses:

  • The ratio of black horses to all horses is calculated as follows:

\[ \text{Ratio of black horses to all horses} = \frac{\text{Number of black horses}}{\text{Total number of horses}} = \frac{57}{88} \]

Thus, the total number of horses in the herd is 88, and the ratio of black horses to all horses is \( \frac{57}{88} \).