Question

За 5 метров ткани заплатили на 1640 рублей больше,чем за три метра такой-же ткани.По какой цене продавалась ткань? Сколько денег надо заплатить за 8 метров ткани? Помогите решить,пожалуйста.

Answer 1

Х руб - 1 м ткани
1)5х=3х+1640
5х-3х=1640
2х=1640
х=820 руб. стоит 1 м ткани
2) 820*8=6560 руб. стоят 8м ткан
Ответ: 820руб.; 6560 руб.

Answer 2

Problem Analysis

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

Solution

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

So, the price for 5 meters of fabric is x + 1640 rubles.

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

To find the price for 8 meters of fabric, we multiply the price per meter by 8. Therefore, the price for 8 meters of fabric is 8 * ((x + 1640) / 5) rubles.

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

Calculation

To find x, we can set up an equation using the given information:

(x + 1640) / 5 = x

Simplifying the equation:

x + 1640 = 5x

4x = 1640

x = 410

Now that we have found x, we can calculate the price for 8 meters of fabric:

Price for 8 meters of fabric = 8 * ((x + 1640) / 5) rubles = 8 * ((410 + 1640) / 5) rubles = 8 * (2050 / 5) rubles = 8 * 410 rubles = 3280 rubles

Answer

The fabric is sold at a price of 410 rubles per meter. The cost of 8 meters of fabric is 3280 rubles.

Please let me know if you need any further assistance.