Question

За арбуз в 4,2 кг и дыню в 5,4 кг заплатили 39,6 руб. Известно, что 1 кг дыни дороже 1 кг арбуза на 2 руб. Сколько стоит 1 кг дыни???

Answer 1

Пусть "а" руб- цена арбуза,

"а+2" руб, -цена дыни

Тогда 4,2*а+5,4*(а+2)=39,6

           4,2а+5,4а+10,8=39,6

           4,2а+5,4а=39,6-10,8

            9,6а=28,8

           а=3(руб) стоимость 1 кг арбуза

          3+2=5 (руб) стоимость 1 кг дыни

Проверка

3*4,2+5*5,4=39,6

12,6+27=39,6

39,6=39,6

 

Answer 2

Calculation of the Cost of Watermelon

To calculate the cost of 1 kg of watermelon, we need to determine the cost of 1 kg of watermelon relative to 1 kg of watermelon.

Let's assume the cost of 1 kg of watermelon is x rubles. According to the given information, 1 kg of watermelon is 2 rubles more expensive than 1 kg of watermelon. Therefore, the cost of 1 kg of watermelon is (x + 2) rubles.

We also know that the total cost of 4.2 kg of watermelon and 5.4 kg of watermelon is 39.6 rubles.

Using this information, we can set up the following equation:

4.2 * x + 5.4 * (x + 2) = 39.6

Simplifying the equation:

4.2x + 5.4x + 10.8 = 39.6

9.6x = 28.8

x = 28.8 / 9.6

x = 3

Therefore, 1 kg of watermelon costs 3 rubles.

Answer: 1 kg of watermelon costs 3 rubles.