Question

Диван и 2 одинаковых стула стоят 14 400 а тотже диван и 6 стульев стоят 19 200 с колько стоит диван и 1 стул?

Answer 1

Х- стоит диван, у-стоит стул
х+2у=14400
х+6у=19200 первое уравнение умножем на -3
-3х-6у=-43200
х+6у=19200 потом сумируем
-2х=-24000,откуда х=12000-стоимость одного дивана,затем 14400-12000=2400 стоимость 2 стульев, 2400:2=1200 стоимость 1 стула
ответ 12000 - диван, 1200 - 1 стул

Answer 2

Calculating the Cost of the Sofa and 1 Chair

To calculate the cost of the sofa and 1 chair, we can use a system of equations based on the given information.

Let's denote the cost of the sofa as S and the cost of one chair as C.

From the given information, we have two equations: 1. S + 2C = 14400 (Equation 1, for the cost of the sofa and 2 chairs) 2. S + 6C = 19200 (Equation 2, for the cost of the sofa and 6 chairs)

We can solve this system of equations to find the values of S and C.

Solving the System of Equations

Subtracting Equation 1 from Equation 2, we get: 4C = 4800

So, the cost of one chair (C) is 4800 / 4 = 1200.

Substituting the value of C back into Equation 1: S + 2(1200) = 14400 S + 2400 = 14400 S = 14400 - 2400 S = 12000

Answer

Therefore, the cost of the sofa is $12,000 and the cost of 1 chair is $1,200.