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kelly got a price point for every five raffle tickets she sold. she sold 405 raffle tickets how many prize point did she get

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We have a proportion between prize points and raffle tickets: 1 price point per 5 raflle tickets.

We can use the rul of three to calculate how many prize points correspond to 405 raffle tickets:

"If 5 raffle tickets correspond to 1 prize point, then 405 raffle tickets correspond to x prize points"


\begin{gathered} 5\text{ raffle tickets}\longrightarrow1\text{ prize point} \\ 405\text{ raffle tickets}\longrightarrow x=405\text{ raffle tickets}\cdot\frac{1\text{ prize point}}{5\text{ raffle tickets}}=81\text{ prize points} \end{gathered}

NOTE: is useful to write and operate the units to check if the answer is correct.

Answer: 81 prize points.

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