Question

В трамвае ехало в 3 раза больше женщин,чем мужчин. Когда на остановке вышли двое мужчин и семь женщин,а вошли четверо мужчин и одна женщина, пассажиров стало 36. Сколько женщин было в трамвае до этой остановки?

Answer 1

Мужчин было х
Женщин было 3х
Мужчин стало (х -2 + 4) = (х + 2)
Женщин стало (3х - 7 + 1) = (3х - 6)
Уравнение:
х + 2 + 3х - 6 = 36
4х = 36 + 6 - 2
4х = 40
х = 10
3х = 10 * 3 = 30
Ответ: 30 женщин было в трамвае до остановки.

Answer 2

Problem Analysis

We are given the information that there were three times as many women as men in a tram. After two men and seven women got off at a stop, four men and one woman got on, and the total number of passengers became 36. We need to determine how many women were in the tram before this stop.

Solution

Let's assume the number of men in the tram before the stop is x. Since there were three times as many women as men, the number of women in the tram before the stop would be 3x.

After two men and seven women got off, the number of men in the tram decreased by 2 and the number of women decreased by 7. So, the new number of men in the tram is x - 2 and the new number of women is 3x - 7.

After four men and one woman got on, the number of men in the tram increased by 4 and the number of women increased by 1. So, the final number of men in the tram is x - 2 + 4 = x + 2 and the final number of women is 3x - 7 + 1 = 3x - 6.

According to the given information, the total number of passengers after these changes is 36. Therefore, we can write the equation:

(x + 2) + (3x - 6) = 36

Simplifying the equation:

4x - 4 = 36

Adding 4 to both sides:

4x = 40

Dividing both sides by 4:

x = 10

So, there were 10 men in the tram before this stop. To find the number of women, we substitute this value back into the equation:

3x - 6 = 3(10) - 6 = 30 - 6 = 24

Therefore, there were 24 women in the tram before this stop.

Answer

There were 24 women in the tram before this stop.