Question

В швейную мастерскую привезли три рулона ткани. Во втором рулоне в 3 раза больше, а в третьем рулоне в 5раз больше ткани, чем в первом. Может ли быть, что во всех трех рулонах 241м ткани? 127 м? 216 м? Сколько метров ткани в-третьем рулоне? Составь уровнение

Answer 1

Х(м)-в 1 рулоне
3х(м)-во 2 рулоне
5х(м)-в 3 рулоне
х+3х+5х=9х(м)-во всех рулонах
9х=241 и 9×х=127 не делятся целыми числами на 9 , соответственно не может быть
9×х=216
х=216÷9
х=24(м)-в 1 рулоне
24×5=120(м)-в третьем рулоне

Answer 2

Пусть ткани в 1 рулоне x
Тогда во втором рулоне 3x м ткани
А в третьем рулоне 5x м ткани
Значит во всех трех рулонах 9x м ткани.
Признак деления на 9 - сумма цифр числа делится на 9.по этому признаку числа 241 и 127 не подходят. Подходит число 216.
216=9x
X=216/9
X=24 м ткани в первом рулоне
В третьем рулоне 5x=5*24=120 м ткани

Answer 3

Problem Analysis

In this problem, we are given three rolls of fabric. The second roll has three times more fabric than the first roll, and the third roll has five times more fabric than the first roll. We need to determine if it is possible for all three rolls to have a total of 241 meters of fabric. Additionally, we need to find the amount of fabric in the third roll.

Solution

Let's assume the amount of fabric in the first roll is x meters.

According to the problem, the second roll has three times more fabric than the first roll, so the amount of fabric in the second roll is 3x meters.

Similarly, the third roll has five times more fabric than the first roll, so the amount of fabric in the third roll is 5x meters.

To determine if it is possible for all three rolls to have a total of 241 meters of fabric, we can set up the following equation:

x + 3x + 5x = 241

Simplifying the equation, we get:

9x = 241

Solving for x, we find:

x = 241 / 9

Calculating the value of x, we get:

x ≈ 26.78

Since the amount of fabric should be a whole number, it is not possible for all three rolls to have a total of 241 meters of fabric.

To find the amount of fabric in the third roll, we can substitute the value of x into the equation:

5x = 5 * 26.78

Calculating the value, we find:

5x ≈ 133.9

Therefore, the amount of fabric in the third roll is approximately 133.9 meters.

Answer

It is not possible for all three rolls to have a total of 241 meters of fabric. The amount of fabric in the third roll is approximately 133.9 meters.