Question

Задача в 2 способах за арбуз массой 7 кг и дыню массой 5 кг уплатили 2р 50к. сколько стоит 1 кг дыни и 1 кг арбуза если арбуз массой 8 кг на 64 к. дешевле дыни массой 4 кг?

Answer 1

7а+5д=2,5р        56а+40д=20р                  56а=20р-40д
8а-0,64 =4д        56а-4,48р=28д                56а=28д+4,48р
20р-40д=28д+4,48р
20р-4,48р=28д+40д
15,52=68д

д=0,23р 5д=1,15
8а-0,64=0,92
8а=1,56
а=1.56/8
а=0,195

Answer 2

Problem Analysis

We are given two fruits, a watermelon weighing 7 kg and a melon weighing 5 kg. The total cost of both fruits is 2 rubles and 50 kopeks. We need to find the cost per kilogram of watermelon and melon, given that an 8 kg watermelon is 64 kopeks cheaper than a 4 kg melon.

Solution

Let's solve the problem in two different ways.

Method 1: Using a System of Equations

Let's assume the cost per kilogram of watermelon is x rubles and the cost per kilogram of melon is y rubles.

From the given information, we can set up the following equations:

Equation 1