Question

Помогите!!! Пожалуйста Оранжевое настроение Гена купил Чебурашке два килограмма мандаринов и три килограмма апельсинов, потратив всего 900 рублей. При этом за мандарины он заплатил на 180 рублей больше, чем за апельсины. Старуха Шапокляк также купила Чебурашке мандаринов и апельсинов, причем за мандарины она заплатила в четыре раза меньше денег, чем за апельсины. Сколько стоил килограмм мандаринов, и сколько килограмм апельсинов? Чего Шапокляк купила больше, мандаринов или апельсинов и во сколько раз? Сколько стоил килограмм мандаринов? П

Answer 1

Ответ:1. 270

2. 120

3. Апельсинов

4. В 4 раза

(Не уверенна что правильно)

Answer 2

Problem Analysis

Gena bought two kilograms of mandarins and three kilograms of oranges for a total of 900 rubles. He paid 180 rubles more for the mandarins than for the oranges. Meanwhile, Shapoklyak bought mandarins and oranges, paying four times less for the mandarins than for the oranges. We need to determine the cost per kilogram of mandarins and oranges, as well as which fruit Shapoklyak bought more of and by how many times.

Solution

Let's assume the cost per kilogram of mandarins is x rubles and the cost per kilogram of oranges is y rubles.

From the given information, we can form the following equations:

1. Gena's purchase: - 2x + 3y = 900 (equation 1) - x = y + 180 (equation 2)

2. Shapoklyak's purchase: - 2a + 3b = 900 (equation 3) - a = 4b (equation 4)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve equations 1 and 2 to find the values of x and y.

Substituting equation 2 into equation 1: 2(y + 180) + 3y = 900 2y + 360 + 3y = 900 5y = 900 - 360 5y = 540 y = 540 / 5 y = 108

Substituting the value of y into equation 2: x = 108 + 180 x = 288

Therefore, the cost per kilogram of mandarins is 288 rubles and the cost per kilogram of oranges is 108 rubles.

Shapoklyak's Purchase

Now let's determine what Shapoklyak bought more of and by how many times.

From equation 4, we know that a = 4b. Since a represents the cost of mandarins and b represents the cost of oranges, we can conclude that Shapoklyak bought more oranges than mandarins.

To find out how many times more oranges Shapoklyak bought, we can compare the costs of the two fruits.

The cost of mandarins (a) is 4 times less than the cost of oranges (b). This means that Shapoklyak bought oranges at a cost that is 4 times greater than the cost of mandarins.

Therefore, Shapoklyak bought more oranges than mandarins, and she bought oranges at a cost that is 4 times greater than the cost of mandarins.

Summary of Results

Based on the given information: - The cost per kilogram of mandarins is 288 rubles. - The cost per kilogram of oranges is 108 rubles. - Shapoklyak bought more oranges than mandarins, and she bought oranges at a cost that is 4 times greater than the cost of mandarins.

I hope this helps! Let me know if you have any further questions.