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

1. Problem Description

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

2. Solution Steps

We need to check if each given ratio is equivalent to $5:1$. Two ratios $a:b$ and $c:d$ are equivalent if $\frac{a}{b} = \frac{c}{d}$.

* Check $25:5$: $\frac{25}{5} = 5$. Since $\frac{5}{1} = 5$, the ratio $25:5$ is equivalent to $5:1$.

* Check $20:4$: $\frac{20}{4} = 5$. Since $\frac{5}{1} = 5$, the ratio $20:4$ is equivalent to $5:1$.

* Check $27:2$: $\frac{27}{2} = 13.5$. Since $\frac{5}{1} = 5$, and $13.5 \ne 5$, the ratio $27:2$ is not equivalent to $5:1$.

Therefore, the ratios equivalent to $5:1$ are $25:5$ and $20:4$.

3. Final Answer

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