Question

Решить задачу с иксом:Красная шапачка, Мальвина ,Золушкаи ,Дюймовочка СЛЕПИЛИ 500 пельменей . красная шапочка слепила в 2 раза больше дюймовочка мальвина столько сколько красная шапочка и дюймовочка вместе а золушка столько сколько мальвина и дюймовочка вместе. сколько пельменей слепила каждая девочка

Answer 1

1)х*2=2х
2)х+2х=3х
3)х+3х=4х
4)х+2х+3х+4x=500
10x=500
x=50
5)50*2=100
6)50*3=150
7)50*4=200

Answer 2

Problem Analysis

We are given that Red Riding Hood, Malvina, Cinderella, and Thumbelina made 500 dumplings together. Red Riding Hood made twice as many dumplings as Thumbelina, and 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. We need to determine how many dumplings each girl made.

Solution

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 M represent the number of dumplings made by Malvina. - Let C represent the number of dumplings made by Cinderella. - Let T represent the number of dumplings made by Thumbelina.

From the given information, we can write the following equations: 1. Red Riding Hood made twice as many dumplings as Thumbelina: RRH = 2T. 2. Malvina made the same number of dumplings as Red Riding Hood and Thumbelina combined: M = RRH + T. 3. Cinderella made the same number of dumplings as Malvina and Thumbelina combined: C = M + T. 4. The total number of dumplings made by all the girls is 500: RRH + M + C + T = 500.

We can solve this system of equations to find the values of RRH, M, C, and T.

Substituting equation 1 into equation 2, we get: M = 2T + T = 3T.

Substituting equation 2 into equation 3, we get: C = 3T + T = 4T.

Substituting these values into equation 4, we have: 2T + 3T + 4T + T = 500.

Simplifying the equation, we get: 10T = 500.

Solving for T, we find: T = 50.

Substituting this value back into the equations, we can find the values of RRH, M, and C: - Red Riding Hood (RRH) = 2T = 2 * 50 = 100. - Malvina (M) = 3T = 3 * 50 = 150. - Cinderella (C) = 4T = 4 * 50 = 200.

Therefore, Red Riding Hood made 100 dumplings, Malvina made 150 dumplings, Cinderella made 200 dumplings, and Thumbelina made 50 dumplings.

Answer

Each girl made the following number of dumplings: - Red Riding Hood: 100 dumplings. - Malvina: 150 dumplings. - Cinderella: 200 dumplings. - Thumbelina: 50 dumplings.