The problem asks to select all ratios that are equivalent to the ratio $5:3$. The options are $55:33$, $1:2$, and $30:18$.

1. Problem Description

The problem asks to select all ratios that are equivalent to the ratio $5:3$. The options are $55:33$, $1:2$, and $30:18$.

2. Solution Steps

We need to check if each of the given ratios is equivalent to $5:3$.

A ratio $a:b$ is equivalent to $5:3$ if $\frac{a}{b} = \frac{5}{3}$.

* Check $55:33$:

$\frac{55}{33} = \frac{5 \times 11}{3 \times 11} = \frac{5}{3}$. Therefore, $55:33$ is equivalent to $5:3$.

* Check $1:2$:

$\frac{1}{2} \neq \frac{5}{3}$. Therefore, $1:2$ is not equivalent to $5:3$.

* Check $30:18$:

$\frac{30}{18} = \frac{5 \times 6}{3 \times 6} = \frac{5}{3}$. Therefore, $30:18$ is equivalent to $5:3$.

3. Final Answer

The ratios equivalent to $5:3$ are $55:33$ and $30:18$.