Question

За 5 метров ткани заплатили на 1640 руб.больше,чем за 3 метра такой же ткани.По какой цене продавалась ткань?Сколько денег надо заплатить за 8 м такой ткани?

Answer 1

5-3=2 м на столько метров  заплатили больше
1640/2=820 руб стоит 1 м ткани
820*8=6560 руб надо заплатить за 8 м ткани

Answer 2

Problem Analysis

We are given that 5 meters of fabric cost 1640 rubles more than 3 meters of the same fabric. We need to determine the price at which the fabric was sold and calculate the cost of 8 meters of the same fabric.

Solution

Let's assume the price of 3 meters of fabric is x rubles. According to the given information, 5 meters of fabric cost 1640 rubles more than 3 meters of fabric. Therefore, the price of 5 meters of fabric is x + 1640 rubles.

To find the price per meter, we can divide the total cost by the number of meters. So, the price per meter of fabric is (x + 1640) / 5 rubles.

To calculate the cost of 8 meters of fabric, we can multiply the price per meter by 8. So, the cost of 8 meters of fabric is 8 * ((x + 1640) / 5) rubles.

Let's solve for x and calculate the cost of 8 meters of fabric.

Calculation

Let's solve the equation (x + 1640) / 5 = (x / 3) to find the value of x.

(x + 1640) / 5 = x / 3

Multiplying both sides by 15 to eliminate the denominators:

3(x + 1640) = 5x

3x + 4920 = 5x

2x = 4920

x = 2460

Now, we can substitute the value of x into the equation to find the price per meter of fabric:

Price per meter = (x + 1640) / 5 = (2460 + 1640) / 5 = 4100 / 5 = 820 rubles per meter.

Finally, we can calculate the cost of 8 meters of fabric:

Cost of 8 meters = 8 * ((x + 1640) / 5) = 8 * (820) = 6560 rubles.

Answer

The fabric was sold at a price of 820 rubles per meter. The cost of 8 meters of the same fabric is 6560 rubles.

Please note that the above calculations are based on the given information and assumptions made.