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Arnold has half the amount of money as KaylaJarvis has twice as much money as Kayla. How much money does Kayla have if all three of them have 30 dollars combined?

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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.

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