To find the number of dogs in the shelter, we can define the situation mathematically. There are 50 animals in total, and 60% of them are dogs.
To set up the calculation, we can express the number of dogs as:
\[ \text{Number of dogs} = 60% \times 50 \]
Converting 60% to a decimal, we get 0.6. Thus, we want to solve:
\[ \text{Number of dogs} = 0.6 \times 50 \]
Calculating this gives:
\[ \text{Number of dogs} = 30 \]
Now, looking through the provided options, we want to find the equation that effectively describes this situation. We should look for a fraction that represents the relationship:
The correct approach based on the description is:
\[ \frac{60 \times 2}{100 \times 2} = \frac{120}{200} = \frac{30}{50} \]
However, none of the provided options directly state that \(30\) dogs equals \(60%\) of the total \(50\) animals.
Among them, the equation that best represents the relationship and simplifies correctly to show the percentage of dogs is:
\[ \frac{60 \times 2}{50 \times 2} = \frac{120}{100} \]
So the valid equations would suggest a relationship with the percentage of dogs.
Thus, looking explicitly at your choices, the answer that correctly expresses the relationship and leads to the conclusion that there are 30 dogs in the shelter is clear from context but not explicitly listed as one of the more traditional forms of fraction-to-percentage conversion.
The most aligned statement is:
\[ \frac{60 \times 2}{50 \times 2} = \frac{120}{100} \]
This indicates the proper calculation for the number of dogs based on the percentage given.
Summary: Out of the provided options, even though none express the calculation directly as \(30\), the equation you would choose would be related to how 60% can be represented in fractions, particularly the effect of fractions shrinking with calculations across both animals and their representation in terms of a fraction of 100.
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