Question

За 30 метров ткани двух сортов ценой 0,53 р. и 0,65 р. за метр заплатили 17,34.Сколько было куплено метров ткани того и другого сорта?

Answer 1

Ответ:18

Пошаговое объяснение:

первая ткань - х метров, вторая - у метров.

Теперь решаем второе уравнение, выразив х через у из первого уравнения.

 0,53*(30-у)+0,65y=17.34

 15,9-0,53у+0,65y=17.34

0,12у=1,44

у=12 метров второй ткани купили

х=30-у=30-12=18 метров первой ткани купили

Answer 2

#### Calculation of the Amount of Fabric Purchased To calculate the amount of fabric purchased for each type, we can set up the following equation: **x * 0.53 + y * 0.65 = 17.34** Where: - x represents the number of meters of fabric purchased at a price of 0.53 rubles per meter. - y represents the number of meters of fabric purchased at a price of 0.65 rubles per meter. Let's solve this equation to find the values of x and y. Using the given equation, we can rearrange it to solve for x: **x = (17.34 - y * 0.65) / 0.53** Now, let's substitute this expression for x into the equation and solve for y: **(17.34 - y * 0.65) / 0.53 * 0.53 + y * 0.65 = 17.34** Simplifying the equation: **17.34 - y * 0.65 + y * 0.65 = 17.34** **y * 0.65 - y * 0.65 = 17.34 - 17.34** **0 = 0** The equation simplifies to 0 = 0, which means that the equation is true for any value of y. This indicates that there are infinitely many solutions for the number of meters of fabric purchased for each type. Therefore, we cannot determine the exact number of meters of fabric purchased for each type without additional information. Please provide more information or clarify the problem if possible, and I'll be happy to assist you further.