Ivana, Majka, Lucka, Saša, and Zuzka competed in reading the same book. In one hour, Lucka managed to read 32 pages, which was exactly halfway between the number of pages read by Saša and Zuzka. Ivana read 5 more pages than Zuzka, and Majka read 8 fewer pages than Saša. No two girls read the same number of pages, and the worst result was 27 pages.

Determine how many pages each girl read.

(M. Dillingerová)
Let's consider which girl could have read the fewest pages. It couldn't have been Lucka, because her result was different from 27. It couldn't have been Saša, because Majka read 8 fewer pages. If it had been Zuzka, then Ivana would have had to read $27+5=32$ pages. However, this case could not have occurred, because each of the girls read a different number of pages. Ivana couldn't have read the fewest pages either, because Zuzka read 5 fewer pages than her. Therefore, the fewest pages must have been read by Majka.

If Majka read 27 pages, then Saša read $27+8=35$ pages, which is 3 more than Lucka. Zuzka then must have read 3 pages fewer than Lucka, i.e., $32-3=29$ pages. The last girl, Ivana, read $29+5=34$ pages.

Evaluation: 1 point for determining that neither Ivana nor Saša read 27 pages; 2 points for determining that Zuzka did not read 27 pages; 3 points for the results of the girls.

Note: The solution can be illustrated graphically similarly to in the home round.