Question

Три крестьянки привезли на рынок масло: одна 4 кадки по 5/12 пуда в каждой, вторая 2 кадки по 2/3 пуда, а все масло третьей крестьянки было разложено поровну в 5 кадок и весило 3 1/3 пуда. Первые две крестьянки продали всё своё масло, а третья только одну кадку. Сколько денег получили три крестьянки вместе, если каждый пуд масла продавали по 12 руб.?

Answer 1

1) Первая крестьянка продала 4 кадки по 5/12 пудов:
4*5/12=20/12=5/3 (пуда) - всего было у первой крестьянки
2) Вторая крестьянка продала 2 кадки по 2/3 пудов:
2*2/3=4/3  (пуда) - всего было у второй крестьянки
3) У третьей крестьянки в пяти кадках было 3 1/3 пуда, значит в одной кадке:
3 1/3:5=10/3:5=10/15=2/3
4) Всего три крестьянки продали:
5/3+4/3+2/3=11/3 (пуда)
5)  11/3*12=132/3=44 (рубля)
Ответ: три крестьянки получили 44 рубля

Answer 2

1) 4 кадки по 5/12 пуда = 20/12 = 5/3 пуда
2) 2кадки по 2/3 пуда = 4/3 пуда
3) 5 кадок весили 3 1/3 = 10/3 пуда. В каждой кадке по 2/3 пуда.
Продали 5/3 + 4/3 + 2/3 = 9/3 = 3 пуда.
Получили 3*12 = 36 руб.

Answer 3

Problem Analysis

Three peasants brought butter to the market. The first peasant had 4 barrels, each weighing 5/12 poods. The second peasant had 2 barrels, each weighing 2/3 poods. The third peasant had 5 barrels, with the total weight of 3 1/3 poods. The first two peasants sold all their butter, while the third peasant sold only one barrel. The question is how much money did the three peasants receive together if they sold each pood of butter for 12 rubles?

Solution

To find the total amount of money received by the three peasants, we need to calculate the total weight of butter they brought to the market and then multiply it by the price per pood.

Let's calculate the weight of butter brought by each peasant:

- The first peasant had 4 barrels, each weighing 5/12 poods. So the total weight of butter brought by the first peasant is: 4 barrels * (5/12 poods/barrel) = 20/12 poods.

- The second peasant had 2 barrels, each weighing 2/3 poods. So the total weight of butter brought by the second peasant is: 2 barrels * (2/3 poods/barrel) = 4/3 poods.

- The third peasant had 5 barrels, with the total weight of 3 1/3 poods. So the weight of butter in each barrel is: (3 1/3 poods) / 5 barrels = 10/3 poods/barrel.

Now let's calculate the total weight of butter brought by all three peasants: (20/12 poods) + (4/3 poods) + (10/3 poods) = 40/12 poods + 16/12 poods + 40/12 poods = 96/12 poods = 8 poods.

Finally, let's calculate the total amount of money received by the three peasants: 8 poods * 12 rubles/pood = 96 rubles.

Therefore, the three peasants received a total of 96 rubles.

Answer

The three peasants received a total of 96 rubles if they sold each pood of butter for 12 rubles.