Question

В двух корзинах было 24 кг груши. Когда из первой корзины переложили во вторую 3/7 массы содержащихся в ней груш, то масса груш во второй корзине стала в 2 раза больше массы груш, оставшихся в первой корзине. Сколько килограммов груш было в каждой корзине первоначально?

Answer 1

В 1-ой корзине было х груш. Тогда х-3/7х осталось в первой корзине, а во второй (х-3/7х)*2 . Составим уравнение (х-3/7х=4/7х)
4/7х+4/7х *2 = 24
4/7x +8/7x =24
12/7x = 24
x = 24 * 7/12
x=14 (кг было в первой корзине
Соответственно, во второй корзине было первоначально 10 кг груш

Answer 2

В 1-ой корзине было х груш,тогда х-3/7х осталось в первой корзине, а во второй (х-3/7х)*2 Составим  и решим уравнение (х-3/7х=4/7х)
4/7х+4/7х *2 = 24
4/7x +8/7x =24
12/7x = 24
x = 24 * 7/12
x=14 кг было в 1 корзине

Во второй корзине было первоначально 10 кг груш

Answer 3

Problem Analysis

We are given that there were 24 kg of pears in two baskets. When 3/7 of the pears from the first basket were transferred to the second basket, the weight of the pears in the second basket became twice the weight of the pears remaining in the first basket. We need to find the initial weights of the pears in each basket.

Solution

Let's assume that the initial weight of pears in the first basket is x kg. Therefore, the initial weight of pears in the second basket would be 24 - x kg.

According to the given information, when 3/7 of the pears from the first basket are transferred to the second basket, the weight of the pears in the second basket becomes twice the weight of the pears remaining in the first basket.

Mathematically, we can represent this as:

(24 - x) + (3/7)x = 2x

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

(24 - x) + (3/7)x = 2x

Multiplying through by 7 to eliminate the fraction:

7(24 - x) + 3x = 14x

168 - 7x + 3x = 14x

168 - 4x = 14x

168 = 18x

x = 168/18

x = 9.33

Since the weight of pears cannot be in decimal form, we need to round it to the nearest whole number. Therefore, the initial weight of pears in the first basket is approximately 9 kg.

Now, we can find the initial weight of pears in the second basket:

24 - x = 24 - 9 = 15 kg

Answer

The initial weight of pears in the first basket was approximately 9 kg, and the initial weight of pears in the second basket was 15 kg.