Question

Помогите решить задачу За 6 тертарей в клетку и 8 тетради в линейку по одинаковой цене заплатили 84 руб. сколько рублей заплатили за тетради в клетку сколько тетрадей в линейку

Answer 1

1)6+8=14тетрадей
2)84:14=6руб за 1 тетрадь
3)6*6=36руб запл за тетр в клетку
4)6*8=48руб запл за тетр в линейку

Answer 2

Task Solution

To solve this problem, we can use a system of linear equations. Let's denote the cost of a notebook in a cage as x rubles and the cost of a notebook in a line as y rubles. We can then set up the following equations based on the given information:

1. 6x + 8y = 84 (Total cost of notebooks) 2. x = y (Given that the cost of a notebook in a cage and a notebook in a line is the same)

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

Solution Steps

1. Substitute the value of x from the second equation into the first equation. 2. Solve for y. 3. Once y is found, substitute its value back into the second equation to find x.

Let's proceed with the calculations.

Calculations

Substituting x = y into the first equation: 6x + 8x = 84

Combining like terms: 14x = 84

Solving for x: x = 84 / 14 x = 6

Now, substituting x back into the second equation to find y: y = 6

Answer

So, the cost of a notebook in a cage is 6 rubles, and the cost of a notebook in a line is also 6 rubles. Therefore, they paid 6 rubles for each notebook in a cage and 8 notebooks in a line.

Feel free to ask if you have any further questions or need additional assistance!