1. **Statement of the problem:** Given a ratio of 4:7 for two quantities (Anna's and Toneli's), find the value of Anna's quantity if the total is known or if one part is given. 2. **Formula and rules:** If two quantities are in ratio $a:b$, and the total is $T$, then each part is $\frac{a}{a+b}T$ and $\frac{b}{a+b}T$ respectively. 3. **Intermediate work:** Here, the ratio is $4:7$, so total parts = $4+7=11$. 4. If the total quantity is $x$, then Anna's quantity is $\frac{4}{11}x$. 5. Without a total given, the problem is incomplete, but if the total is known, substitute and calculate. **Final answer:** Anna's quantity is $\frac{4}{11}$ of the total quantity.