Question

Ребят очень срочно!( это задача которую нужно решать с помощью уравнений. Купили 2 метра ситца и 3 метра льна на 1320 рублей. Известно , 1 метр льна в 3 раза дороже 1 метра ситца. Сколько стоит 1 метр каждой ткани?

Answer 1

Task: Finding the cost per meter of each fabric

To find the cost per meter of each fabric, we can set up a system of equations based on the given information.

Let's assume that the cost per meter of the sateen fabric (s) is x rubles, and the cost per meter of the linen fabric (l) is 3 times the cost of the sateen fabric.

Based on the given information, we can set up the following equations:

Equation 1: 2x + 3l = 1320 (the total cost of 2 meters of sateen and 3 meters of linen is 1320 rubles) Equation 2: l = 3x (the cost of linen is 3 times the cost of sateen)

Now, let's solve this system of equations to find the cost per meter of each fabric.

Solving the system of equations

Substituting Equation 2 into Equation 1, we get:

2x + 3(3x) = 1320 2x + 9x = 1320 11x = 1320 x = 120

So, the cost per meter of the sateen fabric (x) is 120 rubles.

Substituting x = 120 into Equation 2, we get:

l = 3(120) l = 360

So, the cost per meter of the linen fabric (l) is 360 rubles.

Answer:

Therefore, the cost per meter of the sateen fabric is 120 rubles, and the cost per meter of the linen fabric is 360 rubles.

Please let me know if you need any further assistance!