Question

За стул, стол, диван и шкаф уплачено 342 руб. Стол, шкаф и диван стоят 330 руб. Стул, шкаф и диван стоят 312 руб. Стол и диван стоят 130 руб. Сколько стоит каждый предмет в отдельности? Решите пж.

Answer 1

Ответ:

Ответ:стул-12руб,стол-30 руб,диван-100,шкаф-200 руб.

Пошаговое объяснение:

1) 342-330=12 руб -стул

2)342-312=30 руб-стол

3)342-(12+30)=300 руб- шкаф, диван.

4)130-30=100 руб- диван

5) 300-100=200 руб-шкаф

Answer 2

Problem Analysis

We are given the total amount paid for a chair, table, sofa, and wardrobe, as well as the prices of different combinations of these items. We need to determine the individual prices of each item.

Solution

Let's assign variables to the prices of the chair, table, sofa, and wardrobe, respectively. We'll use the following variables:

- Chair price: C - Table price: T - Sofa price: S - Wardrobe price: W

We can set up a system of equations based on the given information:

1. The total amount paid for all items is 342 rubles: - C + T + S + W = 342

2. The prices of different combinations of items are given: - T + S + W = 330 - C + S + W = 312 - T + S = 130

We can solve this system of equations to find the individual prices of each item.

Solving the System of Equations

Let's solve the system of equations using substitution or elimination.

From equation 3, we can express T in terms of S: - T = 130 - S

Substituting this value of T in equation 2, we get: - (130 - S) + S + W = 330 - 130 + W = 330 - W = 330 - 130 - W = 200

Substituting the value of W in equation 1, we get: - C + T + S + 200 = 342 - C + T + S = 142

Substituting the value of T in terms of S from equation 3, we get: - C + (130 - S) + S = 142 - C + 130 = 142 - C = 142 - 130 - C = 12

Finally, substituting the values of C and W in equation 2, we get: - 12 + S + 200 = 330 - S + 212 = 330 - S = 330 - 212 - S = 118

Solution

Based on the calculations, we have found the following prices for each item:

- Chair price (C) = 12 rubles - Table price (T) = 130 rubles - Sofa price (S) = 118 rubles - Wardrobe price (W) = 200 rubles

Therefore, the individual prices of each item are as follows: - Chair: 12 rubles - Table: 130 rubles - Sofa: 118 rubles - Wardrobe: 200 rubles

Please let me know if you need any further assistance!