
4 бригады собрали 1620 кг лука. 1-ая бригада собрала 35% всего лука, 2-ая бригада собрала 4/9
оставшегося, 3-тья - в одну целую одну девятую раза больше, чем вторая. Сколько лука собрала 4-тая бригада? СРОЧНО! 15 баллов

Ответы на вопрос

Осталось 1053 кг лука.
От этих 1053 кг вторая бригада собрала 4/9, то есть 468 кг лука.
А третья группа в 10/9 раза больше, чем вторая, то есть 468 * 10/9 = 520.
1053 - (468 + 520) = 1053 - 988 = 65.
Ответ: четвертя группа собрала 65 кг лука



Problem Analysis
We are given the following information: - 4 brigades collected a total of 1620 kg of onions. - The first brigade collected 35% of the total onions. - The second brigade collected 4/9 of the remaining onions after the first brigade. - The third brigade collected 1 and 1/9 times more onions than the second brigade.
We need to determine how many onions the fourth brigade collected.
Solution
Let's break down the problem step by step:
1. Calculate the amount of onions collected by the first brigade: - The first brigade collected 35% of the total onions. - To find the amount, we multiply the total onions by 35% (or 0.35). - Let's denote the amount collected by the first brigade as x.
2. Calculate the amount of onions remaining after the first brigade: - To find the remaining onions, we subtract the amount collected by the first brigade from the total onions. - The remaining onions can be calculated as: total onions - amount collected by the first brigade. - Let's denote the remaining onions as y.
3. Calculate the amount of onions collected by the second brigade: - The second brigade collected 4/9 of the remaining onions after the first brigade. - To find the amount, we multiply the remaining onions by 4/9. - Let's denote the amount collected by the second brigade as z.
4. Calculate the amount of onions collected by the third brigade: - The third brigade collected 1 and 1/9 times more onions than the second brigade. - To find the amount, we multiply the amount collected by the second brigade by 1 and 1/9 (or 10/9). - Let's denote the amount collected by the third brigade as w.
5. Calculate the amount of onions collected by the fourth brigade: - The fourth brigade collected the remaining onions after the third brigade. - To find the amount, we subtract the amount collected by the third brigade from the remaining onions. - Let's denote the amount collected by the fourth brigade as q.
Now, let's calculate the values step by step:
1. Calculate the amount of onions collected by the first brigade: - x = 0.35 * 1620 kg
2. Calculate the amount of onions remaining after the first brigade: - y = 1620 kg - x
3. Calculate the amount of onions collected by the second brigade: - z = (4/9) * y
4. Calculate the amount of onions collected by the third brigade: - w = (10/9) * z
5. Calculate the amount of onions collected by the fourth brigade: - q = y - w
Let's calculate the values:
1. Calculate the amount of onions collected by the first brigade: - x = 0.35 * 1620 kg = 567 kg
2. Calculate the amount of onions remaining after the first brigade: - y = 1620 kg - 567 kg = 1053 kg
3. Calculate the amount of onions collected by the second brigade: - z = (4/9) * 1053 kg ≈ 468 kg
4. Calculate the amount of onions collected by the third brigade: - w = (10/9) * 468 kg ≈ 520 kg
5. Calculate the amount of onions collected by the fourth brigade: - q = 1053 kg - 520 kg ≈ 533 kg
Therefore, the fourth brigade collected approximately 533 kg of onions.
Answer
The fourth brigade collected approximately 533 kg of onions.


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