Question

В двух кусках поровну ткани. После того от первого куска продали 14 м., а от второго-22м, в первом куске осталось втрое больше ткани, чем во втором. Сколько метров ткани было в каждом куске первоначально?

Answer 1

в каждом куске было по х м ткани, тогда

(х-22)*3=х-14

3х-66=х-14

3х-х=66-14

2х=52

х=26 м - было в каждом куске первоначально

 

Проверка:

26-14=12

26-22=4

12:4=3

Answer 2

Problem Analysis

We are given two pieces of fabric, and after selling 14 meters from the first piece and 22 meters from the second piece, the first piece has three times more fabric remaining than the second piece. We need to determine the initial length of fabric in each piece.

Solution

Let's assume the initial length of fabric in the first piece is x meters and the initial length of fabric in the second piece is y meters.

According to the given information: 1. After selling 14 meters from the first piece, the remaining fabric is three times more than the fabric remaining in the second piece. 2. After selling 22 meters from the second piece, the remaining fabric is x - 14 meters.

Based on these conditions, we can set up the following equations:

Equation 1: x - 14 = 3(y - 22) (The remaining fabric in the first piece is three times more than the remaining fabric in the second piece)

Equation 2: x - 14 = 3y - 66 (Simplifying Equation 1)

Solving these equations will give us the values of x and y, which represent the initial lengths of fabric in each piece.

Let's solve the equations:

x - 14 = 3y - 66

x = 3y - 52

Substituting the value of x in Equation 1:

3y - 52 - 14 = 3(y - 22)

3y - 66 = 3y - 66

The equation is satisfied, which means the value of x can be any number, and the value of y can be any number.

Therefore, we cannot determine the exact initial lengths of fabric in each piece based on the given information.

Please let me know if I can help you with anything else.