Question

для перевозки 180 туристов было заказано несколько автобусов. Однако два автобуса не прибыли ,а туристов приехало на 8 человек больше ,чем ожидалось. Поэтому пришлось в каждом автобусе разместить на 17 человек больше ,чем предполагалось. Сколько туристов было на самом деле размещено в каждом автобусе?

Answer 1

Пусть n - кол-во автобусов заказанных.
Тогда в каждом должно было ехать 180 / n туристов. А получилось 188 / ( n - 2 ).
И разница тут 17 челов, то есть
188 / ( n - 2 ) - 17 = 180 / n
Приведем к общему знаменателю, числитель будет
188n - 17n(n-2) = 180 (n-2)
188n - 17n^2+34n = 180n - 360
-17n^2 + 42n + 360 = 0
Решая квадратное уравнение, получим n = 6 автобусов.
Ехало 188 в n - 2, то есть
188 / 4 = 47 туристов

Answer 2

Calculating the Actual Number of Tourists in Each Bus

To calculate the actual number of tourists that were accommodated in each bus, we can follow these steps:

1. Calculate the Expected Number of Tourists: - The expected number of tourists was the number of tourists originally planned for each bus.

2. Calculate the Total Number of Tourists: - The total number of tourists that arrived, which was 8 more than expected.

3. Calculate the Total Number of Buses: - The total number of buses that arrived, taking into account the two buses that did not show up.

4. Distribute the Tourists Among the Buses: - Distribute the total number of tourists among the actual number of buses that arrived.

Let's proceed with the calculations.

Calculation Steps

1. Calculate the Expected Number of Tourists: - The expected number of tourists per bus was the original number of tourists planned for each bus.

2. Calculate the Total Number of Tourists: - The total number of tourists that arrived was 180 (original) + 8 (extra) = 188.

3. Calculate the Total Number of Buses: - The total number of buses that arrived was the number of buses originally ordered minus the two buses that did not show up.

4. Distribute the Tourists Among the Buses: - Distribute the total number of tourists among the actual number of buses that arrived.

Calculation Results

1. Calculate the Expected Number of Tourists: - The expected number of tourists per bus was 180 tourists.

2. Calculate the Total Number of Tourists: - The total number of tourists that arrived was 188.

3. Calculate the Total Number of Buses: - The total number of buses that arrived was the original number of buses ordered minus the two buses that did not show up.

4. Distribute the Tourists Among the Buses: - Distribute the total number of tourists among the actual number of buses that arrived to find the actual number of tourists in each bus.

Final Answer

The actual number of tourists accommodated in each bus can be calculated by dividing the total number of tourists by the actual number of buses that arrived.

Therefore, the actual number of tourists accommodated in each bus was 188 / (original number of buses - 2).