Question

за арбуз в 3,2 кг и дыню в 6,4 кг заплатили 2,96 тыс рублей. известно что 1 кг дыни дороже 1 кг арбуза на 0.1 тыс рублей. сколько стоит 1 кг дыни?

Answer 1

To find the cost of 1 kg of watermelon, we can set up a system of equations based on the given information.

Let's assume the cost of 1 kg of watermelon is x thousand rubles.

According to the given information: - The weight of the watermelon is 3.2 kg, and the weight of the cantaloupe is 6.4 kg. - The total cost of both fruits is 2.96 thousand rubles. - The cost of 1 kg of cantaloupe is 0.1 thousand rubles more than the cost of 1 kg of watermelon.

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

Equation 1: 3.2x + 6.4(x + 0.1) = 2.96

Let's solve this equation to find the value of x, which represents the cost of 1 kg of watermelon.

Solving the Equation

Expanding the equation: 3.2x + 6.4x + 0.64 = 2.96

Combining like terms: 9.6x + 0.64 = 2.96

Subtracting 0.64 from both sides: 9.6x = 2.96 - 0.64 9.6x = 2.32

Dividing both sides by 9.6: x = 2.32 / 9.6 x ≈ 0.2417

Therefore, the cost of 1 kg of watermelon is approximately 0.2417 thousand rubles.

Please note that the above calculation is based on the given information and assumptions.