Question

За два стола и шесть стульев заплатили 232 рубля. После того как столы подешевели на 15 % , а стулья на 20% ,за один стол и два стула заплатили 87,2 рубля. Какой была начальная цена одного стула и одного стола? с помощью системы

Answer 1

Смотри, пусть столы мы позначим через - х, а стулья через - у. Тогда слаживаем систему уравнения:

 

2х+6у=232

0,85*х+0,80*2у=87,2

 

Из первого уравнения выводим величину - х:

 

2х=232-6у

х=116-3у

 

Вводим её во второе уравнение:

 

0,85(116-3у)+1,6у=87,2

98,6-2,55у+1,6у=87,2

98,6-0,95у=87,2

-0,95у=-11,4

у=12

 

2х+6*12=232

2х+72=232

2х=232-72

2х=160

х=80

 

И так стоимость одного стола была 80 рублей, а стоимость одного стула - 12 рублей.=)

 

Устал я считать))

Answer 2

Problem Analysis

To solve this problem, we need to find the initial price of one table and one chair. We are given the following information:

- The total cost of two tables and six chairs is 232 rubles. - After the tables decreased in price by 15% and the chairs decreased in price by 20%, the cost of one table and two chairs is 87.2 rubles.

Let's denote the initial price of one table as T and the initial price of one chair as C. We can set up the following equations based on the given information:

Equation 1: 2T + 6C = 232 (total cost of two tables and six chairs is 232 rubles) Equation 2: (0.85T) + (0.8C) + (0.8C) = 87.2 (cost of one table and two chairs after the price decrease)

We can solve these equations to find the values of T and C.

Solving the Equations

Let's solve the equations using a system of equations solver:

Equation 1: 2T + 6C = 232 Equation 2: 0.85T + 1.6C = 87.2

Solving these equations, we find that the initial price of one table (T) is 48 rubles and the initial price of one chair (C) is 16 rubles.

Therefore, the initial price of one table and one chair was 48 rubles and 16 rubles, respectively.

Answer

The initial price of one table was 48 rubles and the initial price of one chair was 16 rubles.

Note: The search results provided did not directly answer the question. The solution was obtained by solving the system of equations based on the given information.