Question

За 2 кг конфет одного вида заплатили столько же сколько за 3,5 кг конфет другого вида. Какова цена каждого вида конфет, если 1 кг конфет первого вида на 48 р. дороже 1 кг конфет второго вида? В ответах написано 112 р.,64р.)ПОМОГИТЕ ПОЖАЛУЙСТА!!СРОЧНО!!!

Answer 1

Пусть х руб. будут стоить конфеты второго вида, тогда х+48 будут стоить конфеты первого вида. Известно, что 2 кг первого равно 3,5 кг второго.
Уравнение:  3,5х = 2(х+48)
3,5х = 2х+ 96
3,5х - 2х = 96
1,5х = 96
х = 96 : 1,5
х = 64 - второй вид
64+ 48 = 112 - первый вид

Answer 2

Problem Analysis

We are given that the cost of 2 kg of one type of candy is the same as the cost of 3.5 kg of another type of candy. We also know that the price of 1 kg of the first type of candy is 48 rubles more expensive than 1 kg of the second type of candy. We need to find the prices of each type of candy.

Solution

Let's assume the price of 1 kg of the first type of candy is x rubles. Then the price of 1 kg of the second type of candy would be (x - 48) rubles.

According to the given information, the cost of 2 kg of the first type of candy is the same as the cost of 3.5 kg of the second type of candy. Mathematically, we can represent this as:

2 * x = 3.5 * (x - 48)

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

2x = 3.5x - 168 2x - 3.5x = -168 -1.5x = -168 x = -168 / -1.5 x = 112

Therefore, the price of 1 kg of the first type of candy is 112 rubles.

The price of 1 kg of the second type of candy is (112 - 48) = 64 rubles.

So, the prices of each type of candy are: - First type: 112 rubles per kg - Second type: 64 rubles per kg

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