1. A paint mixture is made from red and blue paint in a ratio of $2:7$. If there are 14 liters of blue paint, how many liters of red paint are in the mixture? ___ liters.
2. In a school orchestra, the ratio of string instruments to wind instruments is $5:3$. If there are 30 string instruments, how many instruments are in the orchestra altogether?
3. A library contains fiction and non-fiction books in a ratio of $4:3$. If the library has a total of 2100 books, how many of them are fiction books? ___ books.
4. A drink is made by mixing juice and water in a ratio of $3:5$. What fraction of the drink is juice?
5. The cost of a project is shared by two partners in a ratio of $5:2$. If the total cost of the project is 3500 dollars, what is the value of the larger share? ___ dollars.
6. Calculate $\frac{1}{4}$ of $20.8$ by first converting the fraction to a decimal. The result is ___.
7. To calculate $\frac{4}{5}$ of $30.5$ using the decimal conversion method, what is the first step?
8. A recipe requires $\frac{3}{5}$ of a $4.5$ ounce bottle of vanilla. How many ounces of vanilla are needed? Express your answer as a decimal: ___ ounces.
9. A construction plan requires a steel rod to be cut to $\frac{1}{8}$ of its original length of $40$ meters. What is the length of the cut piece?
10. What is the product of $\frac{3}{8}$ and $16.4$? Use the decimal conversion method. The result is ___.