maddie has 13-, 5-, 4-, and 2-liter pitchers. If she starts with the 3 smaller pitchers filled with water, how can she have pitchers with 5,3, and 3 liters of water?

To figure out how Maddie can have pitchers with 5, 3, and 3 liters of water, let's break it down step by step:

1. Begin with the 13-liter pitcher empty.
2. Fill the 4-liter pitcher to its maximum capacity.
3. Pour the water from the 4-liter pitcher into the 13-liter pitcher. This leaves you with 4 liters in the 13-liter pitcher and the 4-liter pitcher empty.
4. Transfer the 4 liters from the 13-liter pitcher into the 5-liter pitcher (since the 13-liter pitcher is now empty).
5. Now, the 5-liter pitcher has 4 liters of water, and the 13-liter pitcher is empty.
6. Fill the 4-liter pitcher to its maximum capacity again.
7. Pour the water from the 4-liter pitcher into the 5-liter pitcher until it is full. This leaves you with 3 liters in the 4-liter pitcher and 5 liters in the 5-liter pitcher.
8. Finally, pour the 3 liters from the 4-liter pitcher into the 2-liter pitcher. Now, you have 3 liters in the 5-liter pitcher, 3 liters in the 2-liter pitcher, and an empty 4-liter pitcher.

By following these steps, Maddie can have pitchers with 5, 3, and 3 liters of water using the given 13-, 5-, 4-, and 2-liter pitchers.