Question

Как решить задачу. Красная шапочка Мальвина Золушка и Дюймовочка слепили 500 пельменей. красная шапочка слепила в 2 раза больше пельменей чем дюймовочка Мальвина столько сколько Красная шапочка и Дюймовочка вместе а Золушка столько сколько Мальвина и Дюймовочка вместе.СКОЛЬКО ПЕЛЬМЕНЕЙ СЛЕПИЛА КАЖДАЯ ДЕВОЧКА

Answer 1

Пусть х- Дюймовочка,тогда  КШ =2х, М = 2х+х, З = 3х+х
2х+3х+4х+х=500
10х=500
х=500:10
х=50 (п.) -слепила Дюймовочка

КШ  50*2=100 п.
М    2*50+50=150 п.
З    3*50+50=200 п.

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of dumplings each girl made. We are given the following information: - Red Riding Hood made twice as many dumplings as Thumbelina. - Malvina made the same number of dumplings as Red Riding Hood and Thumbelina combined. - Cinderella made the same number of dumplings as Malvina and Thumbelina combined.

Let's assign variables to represent the number of dumplings made by each girl: - Let RRH represent the number of dumplings made by Red Riding Hood. - Let Thumb represent the number of dumplings made by Thumbelina. - Let Malvina represent the number of dumplings made by Malvina. - Let Cinderella represent the number of dumplings made by Cinderella.

Solution

Based on the given information, we can set up the following equations:

1. Red Riding Hood made twice as many dumplings as Thumbelina: RRH = 2 * Thumb.

2. Malvina made the same number of dumplings as Red Riding Hood and Thumbelina combined: Malvina = RRH + Thumb.

3. Cinderella made the same number of dumplings as Malvina and Thumbelina combined: Cinderella = Malvina + Thumb.

We also know that the total number of dumplings made by all the girls is 500: RRH + Thumb + Malvina + Cinderella = 500.

Now we can solve this system of equations to find the values of RRH, Thumb, Malvina, and Cinderella.

Solving the Equations

Let's substitute the value of RRH from equation 1 into equations 2 and 3:

- Equation 2: Malvina = RRH + Thumb becomes Malvina = 2 * Thumb + Thumb which simplifies to Malvina = 3 * Thumb.

- Equation 3: Cinderella = Malvina + Thumb becomes Cinderella = 3 * Thumb + Thumb which simplifies to Cinderella = 4 * Thumb.

Now we can substitute the values of Malvina and Cinderella into the equation for the total number of dumplings:

RRH + Thumb + Malvina + Cinderella = 500 becomes RRH + Thumb + 3 * Thumb + 4 * Thumb = 500.

Combining like terms, we get RRH + 8 * Thumb = 500.

Since we have two variables in this equation, we need another equation to solve the system. Let's use equation 1:

RRH = 2 * Thumb.

Substituting this into the previous equation, we get 2 * Thumb + 8 * Thumb = 500.

Simplifying, we have 10 * Thumb = 500.

Dividing both sides by 10, we find Thumb = 50.

Now we can substitute this value back into equation 1 to find RRH:

RRH = 2 * Thumb becomes RRH = 2 * 50 which simplifies to RRH = 100.

Finally, we can substitute the values of Thumb and RRH into equations 2 and 3 to find Malvina and Cinderella:

- Equation 2: Malvina = 3 * Thumb becomes Malvina = 3 * 50 which simplifies to Malvina = 150.

- Equation 3: Cinderella = 4 * Thumb becomes Cinderella = 4 * 50 which simplifies to Cinderella = 200.

Answer

Based on the given information, each girl made the following number of dumplings: - Red Riding Hood (Красная шапочка): 100 dumplings. - Thumbelina (Дюймовочка): 50 dumplings. - Malvina (Мальвина): 150 dumplings. - Cinderella (Золушка): 200 dumplings.

Please let me know if there's anything else I can help you with!