7. The bus left from Zagreb heading to Split with stops in Zadar and Sibenik. In Zadar, $\frac{1}{4}$ of the total number of passengers who were on the bus got off, and in Sibenik, $\frac{2}{5}$ of the number of passengers who arrived in Sibenik got off. How many passengers arrived in Split if two more passengers got off in Sibenik than in Zadar?

The use of a pocket calculator or any reference materials is not allowed.
7. From Zagreb, an unknown number of passengers, or $x$ passengers, departed.

In Zadar, $\frac{1}{4} x$ got off, so $\frac{3}{4} x$ passengers continued on to Šibenik. 1 POINT

In Šibenik, $\frac{2}{5} \cdot \frac{3}{4} x=\frac{3}{10} x$ passengers got off.

1 POINT

The difference between the number of passengers who got off in Šibenik and those who got off in Zadar is

$\frac{3}{10} x-\frac{1}{4} x=\frac{6}{20} x-\frac{5}{20} x=\frac{1}{20} x$ or 2 passengers.

2 POINTS

If $\frac{1}{20}$ of $x=2$, then $x=40$. Therefore, 40 passengers departed from Zagreb.

2 POINTS

In Zadar, $\frac{1}{4} \cdot 40=10$ passengers got off, and in Šibenik, $\frac{3}{10} \cdot 40=12$ passengers got off.

2 POINTS

In Split, $40-(10+12)=18$ passengers arrived.

2 POINTS

TOTAL 10 POINTS