Puzzle #42 - Prince of Parzania - The Three Witches
Beautiful Princess Laiba was abducted by an evil warlord, Jaffer, who took her with him to his kingdom, Parzania, where he intended to marry her. Her beau, Prince Atif, immediately set off on his camel to Parzania in pursuit of his would-be bride. Parzania was a beautiful region, adorned by magical trees and creatures, such that Atif had never seen before. He stepped off his camel and decided to have a look around the place. As he turned a corner, three beautiful, yet eerie, women (a blonde, a brunette and a red-head) stopped him in his path.
The red-head stepped forward and said, "How are you feeling, Prince Atif? How was your journey?"
"H-H-How d-do u know who I am?" he stuttered.
They all laughed out aloud. Said the red-head, "We know everything about you, Prince. We can guide you in your quest for princess Laiba. But you need to prove your worth to us by answering a question. If you answer it correctly, we'll give you a magical map of Parzania which will help you locate Princess Laiba easily. If you can't answer the question, you will be sent back to your country.
We - Roohina, Alvira and Rifat - are the witches of Parzania. We all have our own pets which are either chimeras or dragons.
1. Roohina has at least one dragon and thrice as many chimeras.
2. Rifat has at least one dragon and three more chimeras than dragons.
3. Alvira has at least one dragon and twice as many chimeras as dragons.
4. We, together, have less than 25 pets. If you find out how many pets we have together, you will only be able to tell how many pets I have.
Now, tell me, Prince Atif, Who am I?"
Help Atif answer the question and keep his hopes of finding Princess Laiba alive. Provide a detailed solution along with your answer.