Question

За 5 метров ткани заплатили на 2400 руб. 60 коп. больше чем за 2 метров такой же ткани. по какой цене продавалась ткань? сколько денег нужно заполнить за 7 м такой же ткани

Answer 1

1метр ткани-800руб.20коп.
7метров ткани-5.601руб.40коп.

Answer 2

Calculation of the Price of the Fabric

To calculate the price of the fabric, we can set up a proportion based on the given information. Let's assume that the price of 2 meters of the fabric is x rubles. According to the problem, 5 meters of the same fabric cost 2400 rubles and 60 kopeks more than 2 meters of the fabric.

We can set up the following proportion:

2 meters / x rubles = 5 meters / (x + 2400 rubles 60 kopeks)

To solve this proportion, we can cross-multiply:

2 meters * (x + 2400 rubles 60 kopeks) = 5 meters * x rubles

Simplifying the equation:

2x + 4800 rubles 120 kopeks = 5x

4800 rubles 120 kopeks = 3x

Now, let's convert the kopeks to rubles:

4800 rubles 120 kopeks = 4800 rubles + 120 kopeks = 4800 rubles + 0.12 rubles = 4800.12 rubles

Substituting the value back into the equation:

4800.12 rubles = 3x

To find the value of x, we divide both sides of the equation by 3:

x = 4800.12 rubles / 3

Calculating the value of x:

x ≈ 1600.04 rubles

Therefore, the price of 2 meters of the fabric is approximately 1600.04 rubles.

Price of 7 Meters of the Same Fabric

To find the price of 7 meters of the same fabric, we can use the price per meter that we calculated earlier. Since 2 meters of the fabric cost approximately 1600.04 rubles, we can calculate the price of 1 meter by dividing the total price by 2:

Price per meter = 1600.04 rubles / 2 = 800.02 rubles

To find the price of 7 meters, we multiply the price per meter by 7:

Price of 7 meters = 800.02 rubles/meter * 7 meters = 5600.14 rubles

Therefore, the price of 7 meters of the same fabric is approximately 5600.14 rubles.

Please note that the calculations are approximate due to the rounding of numbers.