Question

Решите сначала задачу арифметическим методом,затем уравнением:В домашней библиотеке Миши всего 124 книги,на русском и на английском Книги на русском языке в 3 раза больше,чем на английском.Сколько книг на русском языке в домашней библиотеке Миши?

Answer 1

 Пусть x (книг) - на английском языке, тогда 3x (книг) - на русском языке. Составим уравнение
3x+x=124
4x=124
x=124/4
x=31 книга на английском языке
31*3=93 книги на русском языке
Ответ: 93 книги.

Answer 2

Arithmetical Method:

Let's solve the problem using the arithmetical method.

We are given that the total number of books in Misha's home library is 124. Let's assume that the number of books in Russian is x, and the number of books in English is y.

According to the given information, the number of books in Russian is 3 times the number of books in English. So we can write the equation:

x = 3y

We also know that the total number of books is 124. So we can write another equation:

x + y = 124

Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

To solve the system, we can substitute the value of x from the first equation into the second equation:

3y + y = 124

Simplifying the equation:

4y = 124

Dividing both sides by 4:

y = 31

Now we can substitute the value of y back into the first equation to find the value of x:

x = 3 * 31 = 93

Therefore, there are 93 books in Russian and 31 books in English in Misha's home library.

Equation Method:

Let's solve the problem using the equation method.

We are given that the total number of books in Misha's home library is 124. Let's assume that the number of books in Russian is x, and the number of books in English is y.

According to the given information, the number of books in Russian is 3 times the number of books in English. So we can write the equation:

x = 3y

We also know that the total number of books is 124. So we can write another equation:

x + y = 124

Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

To solve the system, we can use substitution or elimination method. Let's use the substitution method.

From the first equation, we can express x in terms of y:

x = 3y

Substituting this value of x into the second equation:

3y + y = 124

Simplifying the equation:

4y = 124

Dividing both sides by 4:

y = 31

Now we can substitute the value of y back into the first equation to find the value of x:

x = 3 * 31 = 93

Therefore, there are 93 books in Russian and 31 books in English in Misha's home library.