Question

В вагоне метро было меньше 100 человек.Пассажиров,которые сидели было в 2 раза больше,чем тех,что стояли.На остановке сошло 4% пассажиров.Сколько осталось пассажиров в вагоне? Помогите решить задачу и скажите,пожалуйста,почему она решается именно так.А еще,что изучить чтобы разобраться в данном вопросе.Спасибо!

Answer 1

Х - пассажиров стояло, 
2х - пассажиров сидело.
Всего 3х ∠ 100.   значит х ∠ 33,3. (но целое)
4 % от 3х    это 3х·0,04 = 0,12х =у - пассажиров вышло. 
у  - должно быть целое число.
4 % от 100   это 4 человека, т.е.   у  заведомо меньше 4, это будет 1 или 2 или 3.

выразим х  .   х= у÷ 0,12.  
при у=1   х = 8,33  - не целое.
при у =2  х = 16,67  - не целое.
при у =3  х =25.  
Значит, вышли 3 чел, 
 а до остановки  всего ехало 3х =75 человек.
75-3 =72 -чел осталось в вагоне.

   

Answer 2

100 = 35% примерно
35 - 4 = 31 %

Answer 3

Problem Analysis

Let's break down the problem step by step to find the solution.

1. The total number of passengers in the subway car is less than 100. 2. The number of passengers sitting is twice the number of passengers standing. 3. 4% of the passengers got off at the next stop.

We need to determine the number of passengers remaining in the subway car after 4% of the passengers have gotten off.

Solution

Let's assume the total number of passengers in the subway car is x.

According to the problem, the number of passengers sitting is twice the number of passengers standing. This means that the number of passengers sitting is 2y, and the number of passengers standing is y.

The total number of passengers can be expressed as the sum of the number of passengers sitting and standing:

x = 2y + y

Simplifying the equation, we get:

x = 3y

Next, we know that 4% of the passengers got off at the next stop. This means that the remaining passengers in the subway car are 96% of the original number of passengers.

To find the number of passengers remaining, we can multiply the original number of passengers by 96%:

remaining passengers = x * 0.96

Substituting the value of x from the previous equation, we get:

remaining passengers = (3y) * 0.96

Simplifying the equation, we get:

remaining passengers = 2.88y

Therefore, the number of passengers remaining in the subway car is 2.88y.

To find the value of y, we need more information or an additional equation. The problem does not provide any further information, so we cannot determine the exact number of passengers remaining in the subway car.

Conclusion

Based on the given information, we can conclude that the number of passengers remaining in the subway car is 2.88y, where y represents the number of passengers standing. However, without knowing the value of y, we cannot determine the exact number of passengers remaining.

To further understand and solve similar problems, you can study topics such as algebraic equations, percentages, and word problems in mathematics. These topics will provide you with the necessary tools to solve various types of problems involving numbers and equations.