Question

В три овощных магазина завезли 1600 кг картофеля.После того,как в первом магазине продали 200 кг ,а во втором и третьем - по 100 кг картофеля,в третьем магазине его осталось в 2 раза больше ,чем в каждом из первых двух. Сколько килограммов картофеля было в каждом магазине первоначально?

Answer 1

По 1-й части осталось в первом и втором магазинах
2 части осталось в третьем магазине
1600 кг - (200 кг + 100 кг + 100 кг) = 1600 кг - 400 кг = 1200 кг (осталось в магазинах), но осталось
1 часть + 1 часть + 2 части = 4 части
1200 кг : 4 = 300 кг (1 часть)осталось в 1-м и 2-м магазинах
300 кг * 2 = 600 кг (2 части) осталось в 3-м магазине
300 кг + 200 кг = 500 кг (было в 1-м)
300 кг + 100 кг = 400 кг (было во 2-м)
600 кг + 100 кг = 700 кг (было в 3-м)

Проверка
500 кг + 400 кг + 700 кг = 1600 кг, что соответствует условию

Answer 2

Problem Analysis

We are given that 1600 kg of potatoes were delivered to three vegetable stores. After selling 200 kg in the first store and 100 kg each in the second and third stores, the amount of potatoes remaining in the third store is twice the amount in each of the first two stores. We need to determine the initial amount of potatoes in each store.

Solution

Let's assume that the initial amount of potatoes in the first store is x kg. Since the amount of potatoes remaining in the third store is twice the amount in each of the first two stores, the amount of potatoes remaining in the third store is 2x kg.

We can set up the following equation based on the given information:

x - 200 + x - 100 + 2x = 1600

Simplifying the equation, we get:

4x - 300 = 1600

Adding 300 to both sides of the equation, we get:

4x = 1900

Dividing both sides of the equation by 4, we get:

x = 475

Therefore, the initial amount of potatoes in the first store was 475 kg.

To find the initial amount of potatoes in the second and third stores, we can substitute the value of x into the equation:

475 - 200 = 275

Therefore, the initial amount of potatoes in the second store was 275 kg.

2(475) = 950

Therefore, the initial amount of potatoes in the third store was 950 kg.

Answer

The initial amount of potatoes in each store was as follows: - First store: 475 kg - Second store: 275 kg - Third store: 950 kg