1. What is the primary purpose of using a double number line to model a ratio?
2. A recipe calls for 4 cups of sugar for every 2 batches of cookies. Following this ratio, you would need ___ cups of sugar to make 6 batches of cookies.
3. A hose fills a small pool with 90 gallons of water in 3 minutes. At this constant rate, how many gallons would be in the pool after 1 minute? The answer is ___ gallons.
4. A train travels 150 miles in 2 hours at a constant speed. Following this rate, how far will the train travel in 3 hours?
5. Maria can read 50 pages of a book in 40 minutes. If she continues reading at the same pace, she can read 100 pages in ___ minutes.
6. A recipe for a fruit smoothie requires bananas and strawberries in a ratio of $3:5$. If the recipe uses 15 strawberries, how many bananas are needed? ___
7. A pet store has puppies and kittens in a ratio of $2:3$. If there are 30 animals in total, how many kittens are there?
8. In a parking lot, the ratio of cars to trucks is $7:4$. If there are 28 cars, what is the total number of vehicles (cars and trucks) in the lot? ___
9. A mixture of paint is made from red and yellow paint in a ratio of $4:1$. There are 20 gallons of paint in total. When using a bar diagram, what is the value of a single part?
10. A school band has brass and woodwind instruments in a ratio of $5:6$. If there are 30 brass instruments, how many woodwind instruments are there? ___