Question

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

Answer 1

В первом рулоне х метров ткани
во втором 3х
в третьем 5х
всего х+3х+5х=9х

без остатка на 9 делится только 216м
216/9=24 м в первом рулоне
5*24=120м- в третьем рулоне

Answer 2

Calculating the Amount of Fabric in Each Roll

To calculate the amount of fabric in each roll, we can use the information provided about the relative sizes of the rolls.

Let's denote the amount of fabric in the first roll as x meters.

According to the information given: - The second roll contains 3 times more fabric than the first roll. - The third roll contains 5 times more fabric than the first roll.

Using this information, we can set up the following equations:

1. The amount of fabric in the second roll is 3 times the amount in the first roll: 3x meters. 2. The amount of fabric in the third roll is 5 times the amount in the first roll: 5x meters.

Now, we need to check if the total amount of fabric in all three rolls can be 241 meters, 127 meters, or any other specific amount.

Let's proceed to calculate the amount of fabric in each roll.

Calculations

1. Total amount of fabric in all three rolls: - x + 3x + 5x = 9x

2. If the total amount of fabric is 241 meters: - 9x = 241 - x = 241 / 9 - x ≈ 26.78 meters

3. If the total amount of fabric is 127 meters: - 9x = 127 - x = 127 / 9 - x ≈ 14.11 meters

Conclusion

Based on the calculations, the total amount of fabric in all three rolls cannot be exactly 241 meters or 127 meters. However, we can calculate the amount of fabric in the third roll using the equation 5x.

4. Calculating the amount of fabric in the third roll: - 5x ≈ 5 * 26.78 - 5x ≈ 133.9 meters

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