Question

Один диван, четыре кресла и пять стульев на 42000 руб дешевле, чем три дивана , четыре кресла и три стула . На сколько диван дороже кресла? с решением пожалуйста!

Answer 1

Problem Analysis

We are given the information that one sofa, four armchairs, and five chairs cost 42,000 rubles less than three sofas, four armchairs, and three chairs. We need to determine the price difference between a sofa and an armchair.

Solution

Let's assume the price of one sofa is x rubles and the price of one armchair is y rubles.

According to the given information, the cost of one sofa, four armchairs, and five chairs is 42,000 rubles less than the cost of three sofas, four armchairs, and three chairs. Mathematically, we can represent this as:

1x + 4y + 5z = (3x + 4y + 3z) - 42,000

Simplifying the equation, we get:

x + 5z = 3x + 3z - 42,000

Rearranging the equation, we have:

2x - 2z = 42,000

Simplifying further, we get:

x - z = 21,000

Since we need to find the price difference between a sofa and an armchair, we can subtract the price of an armchair from the price of a sofa:

x - y = price difference

Now we have two equations:

x - z = 21,000 x - y = price difference

To solve these equations, we need another equation. Unfortunately, the given information does not provide any additional equations or values. Therefore, it is not possible to determine the exact price difference between a sofa and an armchair without more information.

Please let me know if there is anything else I can help you with.