Question

Дядя фёдор делает бутеры с колбасой, матроскин и шарик их едят.известно что матроскин съел в 3 раза больше бутеров,чем шарик ,шарик съел на 24 меньше бутеров чем сделал фёдор ,а сделал он в 2 раза больше чем матроскин + шарик.СКОЛЬКО БУТЕРОВ СДЕЛАЛ ДЯДЯ ФЁДОР ?

Answer 1

Был бутер и нет бутера .

Answer 2

Problem Analysis

We are given the following information: - Uncle Fyodor makes sandwiches with sausage. - Matroskin and Sharik eat the sandwiches. - Matroskin ate three times as many sandwiches as Sharik. - Sharik ate 24 fewer sandwiches than Uncle Fyodor made. - Uncle Fyodor made twice as many sandwiches as Matroskin and Sharik combined.

We need to determine how many sandwiches Uncle Fyodor made.

Solution

Let's assign variables to the unknown quantities: - Let x be the number of sandwiches Uncle Fyodor made. - Let y be the number of sandwiches Matroskin ate. - Let z be the number of sandwiches Sharik ate.

From the given information, we can write the following equations: 1. Matroskin ate three times as many sandwiches as Sharik: y = 3z. 2. Sharik ate 24 fewer sandwiches than Uncle Fyodor made: z = x - 24. 3. Uncle Fyodor made twice as many sandwiches as Matroskin and Sharik combined: x = 2(y + z).

We can solve this system of equations to find the value of x.

Solving the Equations

Let's substitute the value of z from equation 2 into equations 1 and 3: 1. y = 3(x - 24). 2. x = 2(y + (x - 24)).

Now, we can solve these equations to find the value of x.

Solution Steps

1. Substitute the value of z from equation 2 into equations 1 and 3. 2. Simplify the equations. 3. Solve the resulting system of equations to find the value of x. 4. Provide the final answer.

Let's proceed with the solution.

Solution Steps

1. Substitute the value of z from equation 2 into equations 1 and 3: - Equation 1: y = 3(x - 24). - Equation 3: x = 2(y + (x - 24)).

2. Simplify the equations: - Equation 1: y = 3x - 72. - Equation 3: x = 2y + 2x - 48.

3. Solve the resulting system of equations to find the value of x: - Rearrange equation 3: x - 2y = -48. - Substitute equation 1 into the rearranged equation 3: x - 2(3x - 72) = -48. - Simplify the equation: x - 6x + 144 = -48. - Combine like terms: -5x + 144 = -48. - Move the constant term to the other side: -5x = -48 - 144. - Simplify: -5x = -192. - Divide both sides by -5: x = 38.4.

4. Provide the final answer: - Uncle Fyodor made 38.4 sandwiches.

Therefore, Uncle Fyodor made 38 sandwiches.