Question

. В три овощные 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 кг картофеля было в каждом магазине первоначально?

Answer 1

1600-200-100-100=1200 осталось в трех магазинах
если в третьем в 2 раза больше чем в каждом из двух остальных, то в первом и втором вместе столько же сколько в третьем
1200\2=600 картофеля осталось в 3 магазине.
600/2=300 картофеля осталось в 1 и 2 магазинах.
300+100=400 картофеля завезли в первый и второй магазины.
600+200=800 картофеля завезли в третий магазин.

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 in both 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 the initial amount of potatoes in the first store is x kg.

According to the problem, the amount of potatoes in the second store is also x kg, and the amount in the third store is twice that, which is 2x kg.

After selling 200 kg in the first store, the remaining amount in the first store is x - 200 kg.

After selling 100 kg in the second store, the remaining amount in the second store is x - 100 kg.

After selling 100 kg in the third store, the remaining amount in the third store is 2x - 100 kg.

We know that the sum of the remaining amounts in all three stores is equal to the total amount of potatoes delivered, which is 1600 kg.

So, we can write the equation:

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

Simplifying the equation:

4x - 400 = 1600

4x = 2000

x = 500

Therefore, the initial amount of potatoes in each store was:

- First store: 500 kg - Second store: 500 kg - Third store: 1000 kg

Answer

The initial amount of potatoes in each store was: - First store: 500 kg - Second store: 500 kg - Third store: 1000 kg