Question

Срочноо За 2 кг конфет и 3 кг печенья заплатили 1677 руб. Сколько стоит 1 кг конфет и 1 кг печенья, если 3 кг печенья дороже 1 кг конфет на 210 руб.?​

Answer 1

Ответ:
печиво-233 р кг
Цукерки - 489 р кг

3х-у=210
2у+3х=1677

у=3х-210
2(3х-210)+3х=1677

у=3х-210
9х=2097

у=699-210=489-цукерки
х=233-печиво

Answer 2

Problem Analysis

To solve this problem, we need to find the individual prices of 1 kg of candy and 1 kg of cookies. We are given that the total cost of 2 kg of candy and 3 kg of cookies is 1677 rubles. Additionally, we know that 3 kg of cookies is 210 rubles more expensive than 1 kg of candy.

Solution

Let's assume the price of 1 kg of candy is x rubles and the price of 1 kg of cookies is y rubles.

From the given information, we can form two equations:

1. The total cost of 2 kg of candy and 3 kg of cookies is 1677 rubles: - 2x + 3y = 1677 2. 3 kg of cookies is 210 rubles more expensive than 1 kg of candy: - 3y = x + 210

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

Solving the System of Equations

Let's solve the system of equations using the substitution method.

From equation 2, we can express x in terms of y: - x = 3y - 210

Substituting this value of x into equation 1, we get: - 2(3y - 210) + 3y = 1677 - 6y - 420 + 3y = 1677 - 9y - 420 = 1677 - 9y = 2097 - y = 233

Now, substituting the value of y back into equation 2, we can find x: - x = 3(233) - 210 - x = 699 - 210 - x = 489

Answer

Therefore, 1 kg of candy costs 489 rubles and 1 kg of cookies costs 233 rubles.