If $x$ and $y$ are positive integers such that $5x+3y=100$, what is the greatest possible value of $xy$?
Question:
If $x$ and $y$ are positive integers such that $5x+3y=100$, what is the greatest possible value of $xy$?
Answer:
Let's think step by step.

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If $x$ and $y$ are positive integers such that $5x+3y=100$, what is the greatest possible value of $xy$?
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