There are 16 dogs and 12 cats living in an animal park. Half of these animals are white, while the rest are black. What is the minimum number of dogs with white color?

To find the minimum number of white dogs in the animal park, we can follow these steps:

1. **Calculate the Total Number of Animals:**  
   The total number of animals is the sum of the dogs and cats:
   \[
   \text{Total animals} = 16 \text{ dogs} + 12 \text{ cats} = 28 \text{ animals}
   \]

2. **Calculate the Number of White Animals:**  
   Since half of the animals are white:
   \[
   \text{White animals} = \frac{1}{2} \times 28 = 14
   \]

3. **Determine the Maximum Number of White Cats:**  
   To minimize the number of white dogs, we want to maximize the number of white cats. The maximum number of white cats can be up to all 12 cats:
   \[
   \text{Maximum white cats} = 12
   \]

4. **Calculate the Remaining White Animals as Dogs:**  
   If there are 12 white cats, the remaining white animals must be dogs:
   \[
   \text{White dogs} = \text{Total white animals} - \text{White cats} = 14 - 12 = 2
   \]

Therefore, the minimum number of white dogs is **2**.

Would you like further clarification, or do you have any additional questions?

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1. How many black animals are in the park?
2. What would be the number of white dogs if there were no white cats?
3. If three-fourths of the cats were white, how many white dogs would there be?
4. How can we distribute colors to have an equal number of white and black dogs?
5. What percentage of the total animals are white?
6. Can the number of white dogs be less than 2? Why or why not?
7. How would the answer change if there were more cats than dogs?
8. What is the maximum number of black dogs that could be in the park?

**Tip:** When dealing with fractions or proportions in problems, always confirm the total counts to ensure correct distribution.

Discover the minimum number of white dogs in an animal park with 16 dogs and 12 cats, where half of the animals are white. Follow a step-by-step solution involving arithmetic, fractions, and proportions to find the optimal distribution of colors among the animals.

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