
На кухне табуретки и стулья. У каждой табуретки 3 ноги, у каждого стула 4 ноги. Когда на всех
табуретках и стульях сидят люди, у которых по 2 ноги, на кухне всего 28 ног. Сколько стульев на кухне?

Ответы на вопрос







Calculating the Number of Chairs in the Kitchen
To solve this problem, we can use a system of equations to represent the given information. Let's denote the number of stools as S and the number of chairs as C. Given that each stool has 3 legs and each chair has 4 legs, and there are a total of 28 legs when people are sitting on all the stools and chairs, we can create the following equations:
1. The total number of legs from the stools and chairs is 28: 3S + 4C = 28 2. The total number of people sitting on the stools and chairs is 14 (since each person has 2 legs): S + C = 14
We can solve this system of equations to find the number of chairs in the kitchen.
Solving the System of Equations
Let's solve the system of equations using the substitution method.
First, we can express S in terms of C from the second equation: S = 14 - C.
Now, we can substitute S in the first equation with (14 - C):
3(14 - C) + 4C = 28
Expanding and simplifying:
42 - 3C + 4C = 28
42 + C = 28
Subtracting 42 from both sides:
C = 28 - 42
C = -14
This result doesn't make sense in the context of the problem, so let's re-evaluate the system of equations.
Re-evaluating the System of Equations
It seems there might be an error in the initial setup of the system of equations. Let's re-evaluate the given information and the system of equations to ensure accuracy.
Upon re-evaluating the problem, it appears that there might be a mistake in the given information. The system of equations should be set up based on the number of people sitting on the stools and chairs, rather than the total number of legs.
Let's correct the system of equations based on the number of people sitting on the stools and chairs:
1. The total number of people sitting on the stools and chairs is 14: S + C = 14 2. Each stool has 3 legs and each chair has 4 legs, and there are a total of 28 legs when people are sitting on all the stools and chairs: 3S + 4C = 28
Now, we can solve this corrected system of equations to find the number of chairs in the kitchen.
Solving the Corrected System of Equations
Using the corrected system of equations, we can solve for the number of chairs in the kitchen.


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