Question

За 30 минут 6 стаканов нарезают 12 кг овощей.Сколько станков необходимо,чтобы за 25 минут нарезать 15 кг овощей?СРООООЧНО

Answer 1

Пишем пропорцию
1) 12 кг : (6 шт*30 мин) = 15 кг : (Х шт*25 мин)
Решаем пропорцию - а=произведение крайних членов равно произведению средних членов пропорции.
2) 6*30*15 = 12*25*Х
Упрощаем
3) 300*Х = 2700
Находим неизвестное - Х
4) Х = 2700 : 300 = 9 шт станков - ОТВЕТ

Answer 2

Пишем пропорцию
1)  12 кг : (6 шт*30 мин) = 15 кг : (Х шт*25 мин)
Решаем пропорцию - а=произведение крайних членов равно произведению средних членов пропорции.
2)  6*30*15 = 12*25*Х 
Упрощаем
3) 300*Х = 2700
Находим неизвестное - Х
4) Х = 2700 : 300 = 9 шт станков - ОТВЕТ

Answer 3

Solution:

To solve this problem, we can use the concept of work rate. The work rate is the amount of work done per unit of time. In this case, the work is the amount of vegetables cut, and the time is the duration of cutting.

Let's denote the number of machines needed as x.

Given: - Time: 30 minutes - Vegetables cut: 12 kg - New time: 25 minutes - New vegetables to cut: 15 kg

We can set up a proportion to solve for the number of machines needed.

The work rate is directly proportional to the number of machines and the time, and inversely proportional to the amount of vegetables to be cut.

The proportion can be set up as follows:

30 minutes / 25 minutes = 6 machines / x machines = 12 kg / 15 kg

Let's solve for x.

Calculation:

30 minutes / 25 minutes = 6 machines / x machines

6 / x = 30 / 25

6x = 30 * 25

6x = 750

x = 750 / 6

x ≈ 125

Answer:

To cut 15 kg of vegetables in 25 minutes, approximately 125 machines would be needed.