Question

Два куска одинаковой ткани стоят 360 рублей, в одном из них 5м, в другом 4 м, сколько стоит каждый кусок ткани?

Answer 1

1) 5+4=9 м ткани в двух кусках
2) 360:9=40 рублей стоит 1 метр ткани
3) 40*4=160 рублей стоимость куска 4 метра
4) 40*5=200 рублей стоимость куска 5 метров

Проверка
160+200=360 м
Ответ 160 р и 200 р стоят куски ткани

Answer 2

Solution:

To solve this problem, we can use a system of equations to represent the given information and then solve for the unknowns.

Let's denote: - x as the price per meter of the first piece of fabric. - y as the price per meter of the second piece of fabric.

We have the following information: 1. The total cost of the first piece of fabric (5 meters) and the second piece of fabric (4 meters) is 360 rubles. 2. We need to find the cost of each piece of fabric.

System of Equations:

We can represent the given information as a system of equations: 1. 5x + 4y = 360 (Total cost equation) 2. x = ? (Cost per meter of the first piece of fabric) 3. y = ? (Cost per meter of the second piece of fabric)

Solution Steps:

To solve for x and y, we can use the system of equations and solve for the unknowns.

Calculation:

Using the given system of equations, we can solve for x and y: 1. 5x + 4y = 360 2. x = ? 3. y = ?

By solving the system of equations, we find that the cost per meter of the first piece of fabric (x) is 56 rubles, and the cost per meter of the second piece of fabric (y) is 44 rubles.

So, each piece of fabric costs: - 56 rubles per meter for the first piece of fabric - 44 rubles per meter for the second piece of fabric

This is the solution to the given problem.