Question

В три магазина привезли 290 кг картофеля. масса картофеля, привезенного во второй магазин составляет 35% количества картофеля, завезенного в первый магазин. масса картофеля в третьем магазине составляет 2/7 количества картофеля во втором. сколько картофеля завезли в каждый магазин.

Answer 1

РЕШЕНИЕ
В первый магазин - Х.
X + 0.35*X + 2/7*(0.35*X) = 290 кг - всего
X + 0.35*X + 0.1*X = 290
1.45*X = 290
X = 290 : 1.45 = 200 кг -  в первый - ОТВЕТ
200 * 0,35 = 70 кг - во второй - ОТВЕТ
200 * 0,1 = 20 кг -  в третий - ОТВЕТ

Answer 2

Problem Analysis

We are given that 290 kg of potatoes were delivered to three different stores. The weight of potatoes delivered to the second store is 35% of the weight delivered to the first store, and the weight of potatoes in the third store is 2/7 of the weight in the second store. We need to determine how much potatoes were delivered to each store.

Solution

Let's assume the weight of potatoes delivered to the first store is x kg.

According to the given information, the weight of potatoes delivered to the second store is 35% of x, which is 0.35x kg.

The weight of potatoes delivered to the third store is 2/7 of the weight in the second store, which is (2/7) * 0.35x kg.

The total weight of potatoes delivered to all three stores is the sum of the weights in each store, which is x + 0.35x + (2/7) * 0.35x.

We know that the total weight is 290 kg, so we can set up the equation:

x + 0.35x + (2/7) * 0.35x = 290

Simplifying the equation:

1x + 0.35x + (2/7) * 0.35x = 290

1x + 0.35x + 0.1x = 290

1.45x + 0.1x = 290

1.55x = 290

Now, we can solve for x:

x = 290 / 1.55

x ≈ 187.10 kg

So, approximately 187.10 kg of potatoes were delivered to the first store.

The weight of potatoes delivered to the second store is 0.35x, which is 0.35 * 187.10 kg.

The weight of potatoes delivered to the third store is (2/7) * 0.35x, which is (2/7) * 0.35 * 187.10 kg.

Let's calculate the weights for each store:

Weight of potatoes delivered to the first store: 187.10 kg. Weight of potatoes delivered to the second store: 65.49 kg (0.35 * 187.10 kg). Weight of potatoes delivered to the third store: 18.75 kg ((2/7) * 0.35 * 187.10 kg).

Therefore, approximately 187.10 kg of potatoes were delivered to the first store, 65.49 kg to the second store, and 18.75 kg to the third store.