Question

ученик за 3 тетради и 2 карандаша заплатил 66 тенге Другой ученик за такие же 2 тетради и 3 карандаша заплатил 52 тенге Сколько стоит тетрадь и карандаш? х=1тетрадь у=1карандаш Помогите пожалуйста!

Answer 1

Пусть 1 тетрадь = х
1 карандаш = у

3x + 2y = 66
2x + 4y = 52


x = (66 - 2y)\3
2*(66 - 2y)\3 + 4y = 52

x = (66 - 2y)\3
2*(66 - 2y) = (52 - 4y)*3


x = (66 - 2y)\3
132 - 4y = 156 - 12y


x = (66 - 2y)\3
8y = 24


x = (66 - 2y)\3
y = 3


x = 20
y = 3

Answer 2

Problem Analysis

We are given two scenarios where two different students buy a combination of notebooks and pencils. In the first scenario, the student buys 3 notebooks and 2 pencils for 66 tenge. In the second scenario, the student buys 2 notebooks and 3 pencils for 52 tenge. We need to find the individual prices of a notebook and a pencil.

Let's assume the price of a notebook is 'x' tenge and the price of a pencil is 'y' tenge.

Solution

To solve this problem, we can set up a system of equations based on the given information.

From the first scenario: - 3 notebooks and 2 pencils cost 66 tenge.

From the second scenario: - 2 notebooks and 3 pencils cost 52 tenge.

We can represent these equations as follows:

Equation 1: 3x + 2y = 66 Equation 2: 2x + 3y = 52

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

From Equation 1, we can express 'x' in terms of 'y': 3x = 66 - 2y x = (66 - 2y) / 3

Substituting this value of 'x' into Equation 2, we get: 2((66 - 2y) / 3) + 3y = 52

Simplifying the equation: (132 - 4y) / 3 + 3y = 52 132 - 4y + 9y = 156 5y = 24 y = 24 / 5

Now, we can substitute the value of 'y' back into Equation 1 to find the value of 'x': 3x + 2(24 / 5) = 66 3x + 48 / 5 = 66 3x = 66 - 48 / 5 3x = (330 - 48) / 5 3x = 282 / 5 x = 282 / (3 * 5) x = 282 / 15 x = 18.8

Therefore, the price of a notebook is 18.8 tenge and the price of a pencil is 4.8 tenge.

Note: The prices of the notebook and pencil are approximate values since the given prices are not exact.

Answer

The price of a notebook is approximately 18.8 tenge and the price of a pencil is approximately 4.8 tenge.