Question

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

Answer 1

Х было мужчин
3х было жещин
х-2+4=х+2 стало мужчин
3х-7+1=3х-6 стало женщин
х+2+3х-6=36
4х=40
х=10 мужчин
10*3=30 женщин

Answer 2

Problem Analysis

We are given that in a tram, there were three times as many women as men involved in an accident. At a certain stop, two men and seven women got off the tram, while four men and one woman got on. After these changes, there were a total of 36 passengers in the tram. 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 in the tram 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

Now that we have found the value of x, we can substitute it back into the equation to find the number of women in the tram before the stop:

3x = 3 * 10 = 30

Therefore, there were 30 women in the tram before this stop.

Answer

There were 30 women in the tram before this stop.