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 вол в трамвае до этой остановки? Решение уравнением я знаю. Помогите решить вторым способом по действиям.

Answer 1

Решим от обратного
36 пассажиров - 1 женщина = 35 п
35 - 4 мужч - 31 п
31+7 женщ = 38 п
38+2 мужч = 40 п
3 части женщин и 1 часть мужчин изначально, значит 40/4=10 мужчин и 30 женщин было

Answer 2

Problem Analysis

We are given the information that there were three times as many women as men in the tram. We also know that two men and seven women got off at a stop, while four men and one woman got on, resulting in a total of 36 passengers. 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.

When 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, after this, the number of men in the tram would be x - 2 and the number of women would be 3x - 7.

When 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, after this, the number of men in the tram would be x - 2 + 4 = x + 2 and the number of women would be 3x - 7 + 1 = 3x - 6.

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

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

Now, let's solve this equation to find the value of x and then calculate the number of women in the tram before the stop.

Solving 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

Calculating the Number of Women

Now that we have found the value of x to be 10, we can calculate the number of women in the tram before the stop:

Number of women = 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.