Question

за 7 кг апельсинов и 4кг лимонов заплатили 26 рублей,сколько 1 кг апкльсин и 1 кг лимонов стоят,если 5 кг апельсинов дороже 2 кг лимонов,на 4 рубля​

Answer 1

Problem Analysis

We are given that 7 kg of oranges and 4 kg of lemons were purchased for 26 rubles. We need to find the cost of 1 kg of oranges and 1 kg of lemons, given that 5 kg of oranges are more expensive than 2 kg of lemons by 4 rubles.

Solution

Let's assume the cost of 1 kg of oranges is x rubles and the cost of 1 kg of lemons is y rubles.

From the given information, we can form two equations:

Equation 1: 7x + 4y = 26 (since 7 kg of oranges and 4 kg of lemons were purchased for 26 rubles)

Equation 2: 5x - 2y = 4 (since 5 kg of oranges are more expensive than 2 kg of lemons by 4 rubles)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From Equation 2, we can express x in terms of y:

5x = 2y + 4 x = (2y + 4) / 5

Substituting this value of x into Equation 1:

7((2y + 4) / 5) + 4y = 26 (14y + 28) / 5 + 4y = 26 14y + 28 + 20y = 130 34y = 102 y = 3

Substituting the value of y back into Equation 1:

7x + 4(3) = 26 7x + 12 = 26 7x = 14 x = 2

Therefore, 1 kg of oranges costs 2 rubles and 1 kg of lemons costs 3 rubles.

Answer

1 kg of oranges costs 2 rubles and 1 kg of lemons costs 3 rubles.

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