The problem asks to select all ratios that are equivalent to $5:1$. The given ratios are $25:5$, $20:4$, and $27:2$.

1. Problem Description

The problem asks to select all ratios that are equivalent to $5:1$. The given ratios are $25:5$, $20:4$, and $27:2$.

2. Solution Steps

To check if a ratio is equivalent to $5:1$, we can express each ratio as a fraction and simplify it. If the simplified fraction is equal to $\frac{5}{1}$, then the ratio is equivalent to $5:1$.

First, consider the ratio $25:5$.

The fraction is $\frac{25}{5}$.

Dividing both the numerator and denominator by 5, we get $\frac{25 \div 5}{5 \div 5} = \frac{5}{1}$.

Thus, $25:5$ is equivalent to $5:1$.

Next, consider the ratio $20:4$.

The fraction is $\frac{20}{4}$.

Dividing both the numerator and denominator by 4, we get $\frac{20 \div 4}{4 \div 4} = \frac{5}{1}$.

Thus, $20:4$ is equivalent to $5:1$.

Finally, consider the ratio $27:2$.

The fraction is $\frac{27}{2}$.

Since 27 is not divisible by 2, we cannot simplify the fraction to $\frac{5}{1}$.

Thus, $27:2$ is not equivalent to $5:1$.

3. Final Answer

The ratios equivalent to $5:1$ are $25:5$ and $20:4$.