Question

Купили 1,2 кг конфет и 0,8 кг печенья.За всю покупку заплатили 5,96 тыс.рублей.Известно,что 1 кг дороже 1 кг печенья на 1,3 тыс.рублей.Сколько стоит 1 кг конфет?

Answer 1

Пусть 1кг конфет стоил х,

тогда печенье х-1,3,составим уравнение

1,2х+0,8(х-1,3)=5,96

1,2х+0,8х-1,04=5,96

2х=5,96+1,04

х=7:2

х=3,5 руб. стоит 1кг конфет

Answer 2

х-цена конфет, х-1,3-цена печений составляем уравнение:1,2х+0,8(х-1,3)=5,96  1,2х+0,8х-1,04=5,96  2х=5,90+1,04   2х=7  х=7:2   х=3,5 тыс.руб -цена 1 кг конфет

Answer 3

Problem Analysis

We are given the following information: - The total weight of candies is 1.2 kg. - The total weight of cookies is 0.8 kg. - The total cost of the purchase is 5,960 rubles. - The price of 1 kg of candies is 1,300 rubles more than the price of 1 kg of cookies.

We need to find the cost of 1 kg of candies.

Solution

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

According to the given information, the price of 1 kg of candies is 1,300 rubles more than the price of 1 kg of cookies. Therefore, the price of 1 kg of candies is x + 1,300 rubles.

To find the total cost of the purchase, we can calculate the cost of candies and cookies separately and then add them together.

The cost of 1.2 kg of candies is 1.2 * (x + 1,300) rubles.

The cost of 0.8 kg of cookies is 0.8 * x rubles.

The total cost of the purchase is given as 5,960 rubles. Therefore, we can write the equation:

1.2 * (x + 1,300) + 0.8 * x = 5,960

Now we can solve this equation to find the value of x and then calculate the cost of 1 kg of candies.

Calculation

Let's solve the equation:

1.2 * (x + 1,300) + 0.8 * x = 5,960

Expanding the equation:

1.2x + 1,560 + 0.8x = 5,960

Combining like terms:

2x + 1,560 = 5,960

Subtracting 1,560 from both sides:

2x = 5,960 - 1,560

2x = 4,400

Dividing both sides by 2:

x = 2,200

The price of 1 kg of cookies (x) is 2,200 rubles.

Now we can calculate the price of 1 kg of candies:

Price of 1 kg of candies = x + 1,300 = 2,200 + 1,300 = 3,500 rubles

Answer

Therefore, the price of 1 kg of candies is 3,500 rubles.