Предмет: Алгебра, автор: senokos12shishkin

Злая мачеха ссыпала вместе горох и чечевицу и приказала Золушке перебрать и разделить их. Девушка выполнила задание — но так как она была не только добрая и красивая, но и умная, то сумела оценить, что горох и чечевица соотносятся как 2:4. Определи, каков был вес чечевицы, если общий вес смешанных зёрен — 42 кг?

Ответы

Автор ответа: 4036109
2

Ответ:

28 кг

Объяснение:

2:4 означает что все зёрна разбили на одинаковое количество частей (допустим на 7, как в условии задачи) и из этих частей 2 части (или 14 кг) это горох, а остальные 4 части (или 28 кг) это чечевица

Чтобы узнать сколько весит 1 часть нужно составить уравнение

2х + 4х = 42

6х = 42

х = 42 : 6

х = 7

Исходя из этого можно посчитать количество каждого вида зёрен

То есть

14 кг гороха

и

28 кг чечевицы

Так как по условию нам нужна чечевица, то ответ будет 28 кг


4036109: не забудь нажать спасибо и отметить моё решение как лучшее
senokos12shishkin: как
Автор ответа: ababya
1

Ответ:

28 кг.

Объяснение:

1). Пусть 1 часть - х, тогда горох - 2х, а чечевица - 4х. всего 42 кг. составим и решим уравнение:

2х + 4х = 42,

6х = 42,

х = 42 : 6

х = 7.

7 кг - это одна часть.

2). 7 * 4 = 28 (кг) - чечевицы.

(7 умножаем на 4 так как таких частей по 7 кг, в весе укладывается ровно 4.)

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