17. A foreign exchange centre gave the exchange rates as follows: 3 dimes for 5 eunos 5 garnets for 6 puros 4 eunos for 6 garnets How many puros can one get for 1 dime?

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Let the currencies be related as follows:

1. From the exchange rate $$3$$ dimes for $$5$$ eunos, we have:
$$
1 \text{ dime} = \frac{5}{3} \text{ eunos}.
$$

2. From the exchange rate $$4$$ eunos for $$6$$ garnets, we get:
$$
1 \text{ euno} = \frac{6}{4} = \frac{3}{2} \text{ garnets}.
$$

3. From the exchange rate $$5$$ garnets for $$6$$ puros, we obtain:
$$
1 \text{ garnet} = \frac{6}{5} \text{ puros}.
$$

Now, chain the conversions together starting from $$1$$ dime:
$$
1 \text{ dime} = \frac{5}{3} \text{ eunos} \quad \Longrightarrow \quad \frac{5}{3} \text{ eunos} = \frac{5}{3} \times \frac{3}{2} \text{ garnets} = \frac{5}{2} \text{ garnets} \quad \Longrightarrow \quad \frac{5}{2} \text{ garnets} = \frac{5}{2} \times \frac{6}{5} \text{ puros}.
$$

Simplify the final multiplication:
$$
\frac{5}{2} \times \frac{6}{5} = \frac{6}{2} = 3.
$$

Thus, for $$1$$ dime, one can get $$3$$ puros.
For 1 dime, you can get 3 puros.

17. A foreign exchange centre gave the exchange rates as follows: 3 dimes for 5 eunos 5 garnets for 6 puros 4 eunos for 6 garnets How many puros can one get for 1 dime?

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