Question

ПОМОГИТЕ ПОЖАЛУЙСТА! ДАЮ 50 БАЛЛОВ ЗАДАЧА БУДЕТ НА КТР. Посредством отрезка Ваня выяснил, что часть соклассников в школу ходит пешком, часть ездит на автобусе, а ещё одна часть - на метро. В то же время, отношение тех, кто ездит на метро к тем, кто ездит на автобусе 1:3, а ездящих на автобусе к тем, кто ходит пешком - 2:5. Сколько учащихся ходит пешком, сколько ездит на автобусе и метро, если в классе 23 ученика.

Answer 1

2 человека ездящих на метро
6 человек ездящих на автобусе
15 человек ходят пешком

Answer 2

Problem Analysis

In this problem, we are given that a certain number of students in a class go to school by walking, some go by bus, and some go by metro. We are also given the ratios of the number of students who go by metro to those who go by bus, and the number of students who go by bus to those who walk. We need to determine the number of students who go by walking, the number of students who go by bus, and the number of students who go by metro.

Solution

Let's assume that the number of students who go by walking is represented by x, the number of students who go by bus is represented by y, and the number of students who go by metro is represented by z.

From the given information, we can form the following equations:

1. The total number of students in the class is 23: x + y + z = 23.

2. The ratio of students who go by metro to those who go by bus is 1:3: z/y = 1/3.

3. The ratio of students who go by bus to those who walk is 2:5: y/x = 2/5.

We can solve these equations simultaneously to find the values of x, y, and z.

Solving the Equations

Let's solve the equations using substitution:

From equation 2, we can express z in terms of y: z = (1/3)y.

Substituting this value of z in equation 1, we get: x + y + (1/3)y = 23.

Simplifying the equation, we have: x + (4/3)y = 23.

Now, let's express x in terms of y using equation 3: x = (5/2)y.

Substituting this value of x in the simplified equation, we get: (5/2)y + (4/3)y = 23.

Combining the terms, we have: (23/6)y = 23.

Dividing both sides of the equation by (23/6), we get: y = 6.

Substituting this value of y in equation 3, we can find x: x = (5/2)(6) = 15.

Substituting the values of x and y in equation 1, we can find z: 15 + 6 + z = 23, z = 2.

Answer

Therefore, there are 15 students who go to school by walking, 6 students who go by bus, and 2 students who go by metro.

Please let me know if I can help you with anything else.