Jitka worked on a brigade with a fixed daily wage. In three days, she earned enough money to buy a board game and still had 490 CZK left. If she had spent five days on the brigade, she could have bought two such board games and still had 540 CZK left.

How much did the board game cost?

(K. Pazourek)

Hint. First, try to find Jitka's daily wage.
For a three-day pay, Jitka bought one game and had 490 Kč left, so for a six-day pay, she could buy two games and have 980 Kč left. Meanwhile, for five days, she would also earn enough for two games, but she would have only 540 Kč left. Therefore, Jitka's daily wage was $440 \mathrm{~K} c$ c $(980-540=440)$.

From the first piece of information, we can calculate the price of one game: $3 \cdot 440-490=830$ Kč.

Note. If we denote the daily pay as $v$ and the price of the game as $h$, then the previous considerations can be summarized as follows:

- $3 v=h+490$, so $6 v=2 h+980$,
- $5 v=2 h+540$, so $v=980-540=440$,
- $h=3 v-490=3 \cdot 440-490=830$.