Question

Реши задачу с поощью уравнения. Для изготовления новогодних костюмов купили красную,синюю и зеленую ткань. За красную ткань заплатили в 5 раз больше,чем за синюю,а за зеленую-на 76 руб больше,чем за синюю.сколько щаплатили за каждую ткань,если вся покупка стоила 1000 рублей?

Answer 1

Пусть х- синяя
Пусть х+76 зеленая
Пусть 5х-красная
и получится такое уравнение
х+х+76+5х=1000
7х=924
х=132

Answer 2

Solving the Equation for the Cost of Each Fabric

To solve the problem, we can set up a system of equations based on the given information. Let's denote the cost of the blue fabric as x. Then, the cost of the red fabric is 5x, and the cost of the green fabric is x + 76.

We know that the total cost of all the fabrics is 1000 rubles. Therefore, we can write the equation: x + 5x + (x + 76) = 1000

Solving for x will give us the cost of the blue fabric, and then we can find the costs of the red and green fabrics.

Calculating the Cost of Each Fabric

Let's solve the equation to find the cost of each fabric.

x + 5x + (x + 76) = 1000 7x + 76 = 1000 7x = 924 x = 132

So, the cost of the blue fabric (x) is 132 rubles. The cost of the red fabric is 5x, which is 660 rubles. The cost of the green fabric is x + 76, which is 208 rubles.

Therefore, they paid 132 rubles for the blue fabric, 660 rubles for the red fabric, and 208 rubles for the green fabric.

I hope this helps! If you have any other questions, feel free to ask.