# Ski tow

The ski club has 168 pupils and used lift with 60 seats, while students always follow the same sequence in filling seats. How many times while riding a ski lift skier sitting in the same seat as the first run?

Result

n =  5

#### Solution:

$168 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 7 \ \\ 60 = 2 \cdot 2 \cdot 3 \cdot 5 \ \\ \ \\ \text{LCM}(168, 60) = 840 \ \\ n = 840 / 168 = 5$

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