Question

В магазине было два куска ткани. Цена ткани первого куска 260 руб. за метр, второго – 220 руб. за метр. Сколько метров ткани было в каждом куске, если вместе в них было 70 м и стоили они 17 000 руб.?

Answer 1

X+y=70
260x+220y=17000

y=70-x
260x+220(70-x)=17000

y=70-x
260x+15400-220x=17000

y=70-x
40x=1600

x=40
y=30

Ответ: 40 метров по 260 руб и 30 метров - по 220 руб

Answer 2

Calculating the Length of Each Piece of Fabric

To calculate the length of each piece of fabric, we can use the given information about the prices and total length of the two pieces.

Let's denote: - x as the length of the first piece of fabric in meters - y as the length of the second piece of fabric in meters

We are given the following information: 1. The price of the first piece of fabric is 260 rubles per meter. 2. The price of the second piece of fabric is 220 rubles per meter. 3. The total length of both pieces of fabric is 70 meters. 4. The total cost of both pieces of fabric is 17,000 rubles.

We can set up the following system of equations to represent the given information: - x + y = 70 (total length of both pieces of fabric) - 260x + 220y = 17000 (total cost of both pieces of fabric)

Solving the System of Equations

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

First, let's solve the equation x + y = 70 for x: x = 70 - y

Next, substitute x into the second equation: 260(70 - y) + 220y = 17000

Solving for y: 18200 - 260y + 220y = 17000 -40y = -1200 y = 30

Now that we have the value of y, we can find the value of x: x = 70 - 30 x = 40

Answer:

The length of the first piece of fabric is 40 meters, and the length of the second piece of fabric is 30 meters.