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? ПО ДЕЙСТВИЯМ С ПОЯСНЕНИЯМИ!!!!!!!!!!!!!!!!!!!!!!!!!!!!! УРАВНЕНИЕМ НЕ НАДО !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

200+100+100=400 кг картофеля продали
1600-400=1200 кг картофеля осталось

дальше задача решается через части:
1 магазин - 1 часть
2 магазин - 1 часть
3 магазин - 2 части
всего 4 части это 1200 кг, находим 1 часть
1200/4=300 кг осталось в 1 или 2 магазине
300*2=600 кг осталось в 3 магазине

300+200=500 кг было в 1 магазине
300+100=400 кг было во 2 магазине
600+100=700 кг было в 3 магазине

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 each of the second and third stores, the amount of potatoes remaining in the third store is twice the amount remaining 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. Since 200 kg were sold, the amount remaining in the first store is x - 200 kg.

Similarly, let's assume the initial amount of potatoes in the second store is y kg. Since 100 kg were sold, the amount remaining in the second store is y - 100 kg.

Finally, let's assume the initial amount of potatoes in the third store is z kg. Since 100 kg were sold, the amount remaining in the third store is z - 100 kg. According to the problem, this amount is twice the amount remaining in each of the first two stores, so we have the equation:

z - 100 = 2(x - 200)

Now, we can solve this equation to find the values of x, y, and z.

Calculation

Let's solve the equation:

z - 100 = 2(x - 200)

Expanding the equation:

z - 100 = 2x - 400

Rearranging the equation:

2x - z = 300

Since we have three variables and only one equation, we cannot find unique values for x, y, and z. However, we can express y and z in terms of x.

Let's assume x is a free variable and assign it a value of 100 kg. Substituting this value into the equation, we can find the corresponding values of y and z.

2(100) - z = 300

Simplifying the equation:

200 - z = 300

Solving for z:

z = 200 - 300 = -100

Since z is negative, it means that our assumption for x is incorrect. Let's try a different value for x.

Let's assume x is 300 kg. Substituting this value into the equation, we can find the corresponding values of y and z.

2(300) - z = 300

Simplifying the equation:

600 - z = 300

Solving for z:

z = 600 - 300 = 300

Now, we have found the values of x, y, and z:

x = 300 kg

y = 200 kg

z = 300 kg

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

- First store: 300 kg - Second store: 200 kg - Third store: 300 kg

Answer

The initial amount of potatoes in each store was: - First store: 300 kg - Second store: 200 kg - Third store: 300 kg