Final answer:
Using simple algebra, we can determine that Kayla has approximately $8.57 if together with Arnold and Jarvis they have $30 combined, and Arnold and Jarvis have half and twice as much money as Kayla, respectively.
Step-by-step explanation:
Let's call the amount of money Kayla has K. According to the statement, Arnold has half of what Kayla has, so Arnold has K/2 dollars. Jarvis has twice as much money as Kayla, so Jarvis has 2K dollars. Combined, they have K + K/2 + 2K, which equals $30. If we combine like terms, we get 3.5K = 30. Now, solve for K by dividing both sides of the equation by 3.5, which gives us K = 30 / 3.5, which simplifies to approximately 8.5714. Therefore, Kayla has approximately $8.57.