Question

Помогите решить задачу! Купили 1.2 кг конфет и 0.8 кг печенья.За всю покупку заплатили 5.96 р. Известно, что 1 кг конфет дороже 1 кг печенья на 1.3 р. Ск. стоит 1 кг конфет?

Answer 1

Пусть х тыс. руб. стоит 1 кг печенья, тогда 1 кг конфет стоит (х+1,3) тыс. руб., зная по условию задачи, что купили 1,2 кг конфет и 0,8 кг печенья заплатив за все 5,96 тыс. руб составим ур-е:1,2(х+1,3)+0,8х=5,961,2х+1,56+0,8х=5,962х=5,96-1,56х=4,4/2х=2,2 тыс. руб стоит 1 кг печенья2,2+1,3=3,5 тыс. руб стоит 1 кг конфет

Answer 2

Problem Analysis

To solve this problem, we need to find the cost per kilogram of candies. We are given the total weight of candies and cookies purchased, the total cost of the purchase, and the price difference between candies and cookies per kilogram.

Solution

Let's assume the cost per kilogram of candies is x rubles. Since 1 kilogram of candies is more expensive than 1 kilogram of cookies by 1.3 rubles, the cost per kilogram of cookies will be (x - 1.3) rubles.

According to the problem, the total weight of candies purchased is 1.2 kilograms, and the total weight of cookies purchased is 0.8 kilograms. The total cost of the purchase is 5.96 rubles.

We can set up the following equation to represent the given information:

1.2x + 0.8(x - 1.3) = 5.96

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

1.2x + 0.8x - 1.04 = 5.96

Combining like terms, we have:

2x - 1.04 = 5.96

Adding 1.04 to both sides of the equation, we get:

2x = 7

Dividing both sides of the equation by 2, we find:

x = 3.5

Answer

Therefore, the cost per kilogram of candies is 3.5 rubles.

Please let me know if you need any further assistance!