7.3. When the passengers entered the empty tram, half of them took seats. How many passengers entered at the very beginning, if after the first stop their number increased by exactly $8 \%$ and it is known that the tram can accommodate no more than 70 people?
Answer: 50. From the condition, it follows that the number of passengers is divisible by 2 (since half took seats) and by 25 (8% is $2/25$ of the total number). Therefore, the initial number of passengers was divisible by 50, but it was less than 70, so it was 50.

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