Question

Красная Шапочка несла бабушке 14 пирожков:с мясом,грибами и капустой.Пирожков с капустой было больше всех,причем их было в 2 раза больше,чем пирожков с мясом.А пирожков с мясом было меньше,чем пирожков с грибами.Сколько было пирожков с грибами?

Answer 1

6 капуста 
6:2 = 3 мясо
6+3=9 капуста и мясо
14-9=5 грибы

Answer 2

Solution

To solve this problem, we can use a system of equations to represent the given information and then solve for the number of pies with mushrooms.

Let's denote: - x as the number of pies with meat, - y as the number of pies with mushrooms, and - z as the number of pies with cabbage.

We are given the following information: 1. x + y + z = 14 (total number of pies) 2. z = 2x (number of pies with cabbage is twice the number of pies with meat) 3. x < y (number of pies with meat is less than the number of pies with mushrooms)

Calculations

Using the given information, we can set up the following equations: 1. x + y + 2x = 14 (substituting z with 2x from the second piece of information) 2. 3x + y = 14 3. x < y

Now, we can solve for the values of x and y.

Solution

Solving the equations, we find: - x = 2 - y = 10 - z = 4

So, there were 10 pies with mushrooms.

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