Question

Суммарная масса фрекен бок, Карлсона и Малыша равна 174 кг. масса Малыша в 4 раза меньше массы Фрекен Бок с на 30 ко меньше массы Карлсона. Найдите массу каждого из них. (тема: решение задач с помощью уравнений) решите пожалуйста.

Answer 1

Ф+М+К=174
4М=Ф
М+30=К, подставим получившееся значение в первое выражение
4М+М+М+30=174
6М=174-30
6М=144
М=144:6
М=24 кг масса Малыша
4М=24*4
4М=96 кг масса Фрекен Бок
М+30=24+30
М+30=54 кг масса Карлсона

Answer 2

Problem Analysis

We are given that the total mass of Fräulein Bock, Karlsson, and the Little One is 174 kg. The mass of the Little One is 4 times smaller than the mass of Fräulein Bock and 30 kg less than the mass of Karlsson. We need to find the mass of each of them.

Solution

Let's assume the mass of Fräulein Bock is x kg. According to the problem, the mass of the Little One is 4 times smaller than the mass of Fräulein Bock. Therefore, the mass of the Little One is x/4 kg.

We are also given that the mass of the Little One is 30 kg less than the mass of Karlsson. Let's assume the mass of Karlsson is y kg. Therefore, the mass of the Little One is y - 30 kg.

According to the problem, the total mass of Fräulein Bock, Karlsson, and the Little One is 174 kg. We can write the equation as follows:

x + y + (x/4) = 174

Simplifying the equation:

5x + 4y = 696 (multiplied both sides by 4)

Now we have two equations: 1. x + y + (x/4) = 174 2. 5x + 4y = 696

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

Let's solve the equations:

From equation 1, we can rewrite it as:

4x + 4y + x = 696

Simplifying further:

5x + 4y = 696

This equation is the same as equation 2. Therefore, we have a system of linear equations with one solution.

Using the system of equations solver, we find that x = 96 kg and y = 54 kg.

Therefore, the mass of Fräulein Bock is 96 kg, the mass of Karlsson is 54 kg, and the mass of the Little One is 24 kg.

Answer

The mass of Fräulein Bock is 96 kg, the mass of Karlsson is 54 kg, and the mass of the Little One is 24 kg.