In the magical bazaar, wizards exchanged wizard hats, wands, and cloaks among themselves. For 4 wands, there are 6 cloaks and for 5 wands, there are 5 hats. How many cloaks are there for 5 wands and 1 hat?

( $V$. Hucíková)
For 5 sticks, there are 5 hats. For 1 stick, there is therefore 1 hat, and thus 5 sticks and 1 hat have the same value as 6 sticks.

Furthermore, we know that for 4 sticks, there are 6 coats. For 2 sticks, there are therefore 3 coats, and thus 6 sticks have the same value as 9 coats.

In total, we can see that 5 sticks and 1 hat have the same value as 9 coats.

Grading suggestion. 2 points for deriving the relationship 5 sticks + 1 hat = 6 sticks; 3 points for deriving the relationship 6 sticks = 9 coats; 1 point for the answer.