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Farmer Vreel started with 91 boondins on his farm. Every month, he got 4 more of them. Farmer Froph started with 21 boondins on her farm. Every month, she purchased 8 more of them.

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Final answer:

The student's question involves using basic algebra to calculate the increase in the number of boondins on two different farms over time, illustrating a real-world application of arithmetic progressions.

Step-by-step explanation:

The question given by the student involves the calculation of the number of boondins that Farmer Vreel and Farmer Froph have on their farms over time. Farmer Vreel starts with 91 boondins and gets 4 more each month. In contrast, Farmer Froph starts with 21 boondins and purchases 8 more each month.

To determine the number of boondins each farmer will have after a certain number of months, we would set up a simple arithmetic sequence for each farmer and add the respective monthly increase to their starting number of boondins.

For example, after 3 months, Farmer Vreel would have: 91 + 3(4) = 103 boondins.
Similarly, after 3 months, Farmer Froph would have: 21 + 3(8) = 45 boondins.

This question involves basic algebra and is tailored towards illustrating a real-world application of arithmetic progressions.

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