Question

Четыре метра ткани одного сорта и один метр ткани другого сорта стоят вместе 21,27 €. Два метра ткани первого сорта и 3 метра ткани другого сорта стоят вместе 30,61 €. Сколько стоит 1 м ткани каждого сорта?

Answer 1

Пошаговое объяснение:

х - один сорт ткани

у - другой сорт ткани

{4х + у =21,27 {y=21,27-4x

{2х + 3у =30,61

2x+3(21,27-4x)=30,61

2x+63,81-12x=30,61

-10x=30,61-63,81

-10x=-33,2

x=-33,2÷(-10)

x=3,32€

y=21,27-4×3,32=21,27-13,28=7,99€

Ответ: 3,32€ и 7,99€

Answer 2

Problem Analysis

We are given the following information: - Four meters of fabric of one type and one meter of fabric of another type together cost 21.27 €. - Two meters of fabric of the first type and three meters of fabric of the second type together cost 30.61 €.

We need to find the cost of 1 meter of fabric for each type.

Solution

Let's assume the cost of 1 meter of fabric of the first type is x €, and the cost of 1 meter of fabric of the second type is y €.

From the given information, we can set up the following equations:

Equation 1: 4x + y = 21.27 € Equation 2: 2x + 3y = 30.61 €

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

Solving the Equations

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

From Equation 1, we can express y in terms of x: y = 21.27 - 4x

Substituting this value of y into Equation 2, we get: 2x + 3(21.27 - 4x) = 30.61

Simplifying the equation: 2x + 63.81 - 12x = 30.61 -10x = -33.2 x = -33.2 / -10 x = 3.32 €

Now, substituting the value of x back into Equation 1, we can find the value of y: 4(3.32) + y = 21.27 13.28 + y = 21.27 y = 21.27 - 13.28 y = 7.99 €

Answer

Therefore, 1 meter of fabric of the first type costs 3.32 €, and 1 meter of fabric of the second type costs 7.99 €.

Please note that the given information and the solution provided are based on the assumption that the cost of fabric is linear and the prices remain constant.