Question

Два килограмма груш стоят столько же, сколько стоят три килограмма яблок. Мария купила один килограмм яблок и один килограмм груш, заплатив при этом 10 лей. Найдите стоимость одного килограмма груш.

Answer 1

Пусть х-стоимость 1 кг груш, у-стоимость 1 кг яблок, тогда:
1) 2х = 3у
    х = 1,5у
2) х+у=10
   1,5у+у=10
    2,5у=10
    у=10:2,5= 4 (л.)-стоимость 1 кг яблок
3) x=1,5*4=6 (л.)-стоимость 1 кг груш
Ответ: 4 и 6

Answer 2

Х-стоят груши,у-стоят яблоки
2х=3у⇒х=1,5у
х+у=10
1,5у+у=10
2,5у=10
у=10:2,5=4л-стоит кг яблок
1,5*4=6л-стоит кг груш

Answer 3

Problem Analysis

We are given that two kilograms of pears cost the same as three kilograms of apples. Maria bought one kilogram of apples and one kilogram of pears for a total of 10 lei. We need to find the cost of one kilogram of pears.

Solution

Let's assume the cost of one kilogram of pears is x lei. Since two kilograms of pears cost the same as three kilograms of apples, we can set up the following equation:

2x = 3 * (cost of one kilogram of apples)

We are given that Maria paid 10 lei for one kilogram of apples and one kilogram of pears. Therefore, we can set up another equation:

1 * (cost of one kilogram of apples) + 1 * x = 10

We can solve this system of equations to find the cost of one kilogram of pears.

Solving the System of Equations

Let's solve the system of equations using substitution or elimination method.

From the second equation, we can express the cost of one kilogram of apples in terms of x:

(cost of one kilogram of apples) = 10 - x

Substituting this value in the first equation:

2x = 3 * (10 - x)

Simplifying the equation:

2x = 30 - 3x

Adding 3x to both sides:

5x = 30

Dividing both sides by 5:

x = 6

Therefore, the cost of one kilogram of pears is 6 lei.

Answer

The cost of one kilogram of pears is 6 lei.