Question

Для поездки за город ученикам школы было выделено несколько автобусов, с одинаковым числом мест в каждом автобусе. 258 чел. поехали в лес, а 215 чел. поехали на озеро. Все места в автобусах были заняты, и ни одного человека не осталось без места. Сколько пассажиров было в каждом автобусе и сколько автобусов всего было выделено?

Answer 1

1) 258-215 = 43(м) - всего мест в одном автобусе.

2) 258/43 = 6 (а) - всего автобусов поехало в лес.

3) 215/43 = 5 (а) - всего автобусов поехало на озеро.

4) 6+5 = 11 (а) - всего автобусов

Ответ: 11 автобусов

Answer 2

236 человек или 237 человек

Answer 3

Problem Analysis

We are given that several buses were allocated for a school trip. Each bus has the same number of seats. 258 students went to the forest, while 215 students went to the lake. All the seats in the buses were occupied, and no one was left without a seat. We need to determine the number of passengers in each bus and the total number of buses allocated.

Solution

Let's assume that each bus has x seats. We can set up the following equation based on the given information:

Number of passengers going to the forest + Number of passengers going to the lake = Total number of passengers

258 + 215 = Total number of passengers

To find the total number of passengers, we add the number of passengers going to the forest (258) and the number of passengers going to the lake (215):

258 + 215 = 473

Therefore, the total number of passengers is 473.

Since all the seats in the buses were occupied and no one was left without a seat, the total number of passengers (473) should be evenly divided among the buses. Let's assume that there are n buses in total. We can set up the following equation:

Number of passengers per bus * Total number of buses = Total number of passengers

x * n = 473

To find the number of passengers per bus, we divide the total number of passengers (473) by the total number of buses (n):

x = 473 / n

Now, we need to find the values of x and n that satisfy the given conditions.

Calculation

To find the values of x and n, we can start by finding the factors of 473. The factors of 473 are 1, 11, 43, and 473.

Let's try each factor as the number of passengers per bus (x) and calculate the corresponding number of buses (n).

For x = 1: n = 473 / 1 = 473

For x = 11: n = 473 / 11 = 43

For x = 43: n = 473 / 43 = 11

For x = 473: n = 473 / 473 = 1

Since the number of passengers per bus should be greater than 1, we can conclude that the possible values are:

For x = 11, n = 43

Therefore, each bus had 11 passengers, and a total of 43 buses were allocated for the trip.

Answer

Each bus had 11 passengers, and a total of 43 buses were allocated for the trip.