Question

Бауржан за 5 тетрадей и 2 альбома заплатил 400 тг .Мерует за 3 тетради и 2 альбома заплатила 360 тг . Сколько стоит тетрадь ? Сколько стоит альбом?

Answer 1

Составим пропорцию:
х - тетради
у - альбомы

5х + 2у = 400
3х + 2у = 360

из второго уравнения выражаем у:
2у= 360-3х

подставляем в первое уравнение:
5х + 360 - 3х = 400
2х = 40
х= 20 (стоимость одной тетради)

2у = 300
у = 150 (стоимость одного альбома)

Answer 2

1 тетрадь стоит 20тг,а 1 альбом стоит 300тг вот и все)

Answer 3

Calculation of the Cost of a Notebook and an Album

To calculate the cost of a notebook and an album, we can use the given information about the prices and quantities paid by Baurzhan and Meruet.

Let's assign variables to the unknowns: - Let x be the cost of a notebook. - Let y be the cost of an album.

According to the given information: - Baurzhan bought 5 notebooks and 2 albums for a total of 400 tenge. - Meruet bought 3 notebooks and 2 albums for a total of 360 tenge.

We can set up the following system of equations to represent the given information:

Equation 1: 5x + 2y = 400 Equation 2: 3x + 2y = 360

To solve this system of equations, we can use various methods such as substitution or elimination. Let's use the elimination method:

Multiplying Equation 1 by 3 and Equation 2 by 5, we get:

Equation 3: 15x + 6y = 1200 Equation 4: 15x + 10y = 1800

Subtracting Equation 3 from Equation 4, we eliminate the variable x:

(15x + 10y) - (15x + 6y) = 1800 - 1200 4y = 600 y = 600 / 4 y = 150

Now, we can substitute the value of y back into one of the original equations to find the value of x. Let's use Equation 1:

5x + 2(150) = 400 5x + 300 = 400 5x = 400 - 300 5x = 100 x = 100 / 5 x = 20

Therefore, the cost of a notebook is 20 tenge and the cost of an album is 150 tenge.