Question

На прядильной фабрике бригада из 8 рабочих за 6 дней выполнила 4\9 всего задания на сколько человек следует увеличить бригаду чтобы оставшуюся часть задания выполнить за 5 дней/ - это знак дроби

Answer 1

Пусть х - производительность, тогда:8*6*х=4/948*х*9=4432*х=4х=1/108 Пусть y - кол-во человек, на которое необходимо увеличить бригаду, тогда:5*(8+y)*1/108=5/9(40+5у)/108=5/9360+45у=54045у=180у=4 4/9: 6:8=1/108 задания -  производительность І бригады1-4/9=5/9 - остаток задания5/9:(1/108 * 5) =12(рабочих) - выполнят задание за 5 дней12-8=4(рабочих) - необходимо для увеличения бригады

Answer 2

Problem Analysis

We are given that a team of 8 workers on a spinning factory completed 4/9 of the total task in 6 days. We need to determine how many additional workers should be added to the team in order to complete the remaining task in 5 days.

Solution

To solve this problem, we can set up a proportion based on the amount of work completed and the time taken. Let's denote the number of additional workers needed as x.

The proportion can be set up as follows:

(8 + x) / 6 = (5/9) / (4/9)

Let's solve this proportion to find the value of x.

Calculation

To solve the proportion, we can cross-multiply and then solve for x.

(8 + x) / 6 = (5/9) / (4/9)

Cross-multiplying:

(8 + x) * (4/9) = 6 * (5/9)

Expanding:

(32/9) + (4x/9) = (30/9)

Combining like terms:

(4x/9) = (30/9) - (32/9)

Simplifying:

(4x/9) = -2/9

Multiplying both sides by 9:

4x = -2

Dividing both sides by 4:

x = -1/2

Answer

The negative value of x (-1/2) does not make sense in this context, as we cannot have a negative number of additional workers. Therefore, we cannot increase the team size to complete the remaining task in 5 days. It is not possible to complete the remaining task in the given time frame with the current team size.

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