Question

За арбуз весом 4,2 кг и дыню весом 5,4 кг заплатили 3,96 тыс. рублей. Известно что 1 кг дыни дороже 1 кг арбуза на 0,2 тыс. рублей. Сколько стоит 1 кг дыни?

Answer 1

Пусть 1 кг арбуза-х, тогда 1кг дыни х+0,2. составим уравнение. 4,2х+5,4(х+0,2)=3,96 4,2х+5,4х+1,08=3,96 9,6х=3,96-1,08 9,6х=2,81 х=0,3 кг арбуза стоит 0,3; 0,3+0,5=0,5 цена 1 кг дыни

Answer 2

Calculating the Cost of Watermelon and Melon

To calculate the cost of 1 kg of melon, we can use the given information about the total cost and the price difference between watermelon and melon.

Given: - Weight of watermelon = 4.2 kg - Weight of melon = 5.4 kg - Total cost = 3.96 thousand rubles - Price difference: 1 kg of melon is more expensive than 1 kg of watermelon by 0.2 thousand rubles

Let's denote: - Cost of 1 kg of watermelon as W - Cost of 1 kg of melon as M

We can create the following equations based on the given information: 1. 4.2W + 5.4M = 3.96 (total cost equation) 2. M = W + 0.2 (price difference equation)

Solving for the Cost of 1 kg of Melon

We can solve the system of equations to find the cost of 1 kg of melon.

Substitute the value of M from equation 2 into equation 1: 4.2W + 5.4(W + 0.2) = 3.96

Simplify the equation: 4.2W + 5.4W + 1.08 = 3.96 9.6W + 1.08 = 3.96 9.6W = 2.88 W = 2.88 / 9.6 W = 0.3 (thousand rubles)

Now, we can find the cost of 1 kg of melon using the price difference equation: M = 0.3 + 0.2 M = 0.5 (thousand rubles)

Answer

So, the cost of 1 kg of melon is 0.5 thousand rubles.