To find the number of dogs in the shelter, we know that 60% of the 50 animals are dogs. We can represent this mathematically as:
\[ \text{Number of dogs} = 0.6 \times \text{Total number of animals} \]
Plugging in the total number of animals:
\[ \text{Number of dogs} = 0.6 \times 50 \]
Calculating this gives us:
\[ \text{Number of dogs} = 30 \]
Now, let's analyze the provided equations to see which one accurately represents the calculation of 60% of 50.
-
StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction evaluates to \(\frac{30}{50} = 0.6\), which shows the fraction of dogs to total animals but does not calculate the number of dogs directly.
-
StartFraction 100 times 2 Over 50 times 2 EndFraction = StartFraction 200 Over 100 EndFraction evaluates to \(\frac{200}{100} = 2\), which is unrelated to the problem.
-
StartFraction 50 divided by 1 Over 60 divided by 1 EndFraction = StartFraction 50 Over 60 EndFraction evaluates to \(\frac{50}{60}\) which simplifies to \(\frac{5}{6}\) but does not relate to the counting of dogs.
-
StartFraction 60 times 2 Over 50 times 2 EndFraction = StartFraction 120 Over 100 EndFraction evaluates to \(\frac{120}{100} = 1.2\), which does not relate to the problem of counting dogs.
From the analysis above, none of the equations directly provide the calculation of the number of dogs. However, the first equation shows the proportion of dogs.
To clearly express the calculation, the correct form derived from the percentage would be:
\[ 0.6 \times 50 = 30 \]
Thus, to find the exact number of dogs using percentages, the best equation from the provided options would be the first one since it demonstrates the relationship with fractions.