Question

Два одинаковых пекета молока и пачка творога стоят 94р.Две такие же пачки творога и один такойже пакет молока стоит 80р.Насколько рублей один пакет молока дороже одной пачки творога .Запишите только ответ.

Answer 1

Ответ: на 14 рублей.Решение. Рассмотрим две пачки молока и одну пачку творога. Общая стоимость этих трёх предметов равна 94 рублям. Заменим одну из пачек молока на пачку творога. Получим пачку молока и две пачки творога, общей стоимостью 80 рублей. Иными словами, замена пачки молока на пачку творога снизила общую стоимость на 14 рублей --- оттуда и ответ.

Answer 2

Calculation

To find out how much more expensive one packet of milk is compared to one pack of cottage cheese, we can set up a system of equations based on the given information.

Let's assume the cost of one packet of milk is x rubles, and the cost of one pack of cottage cheese is y rubles.

From the first statement, we know that two identical packets of milk and one pack of cottage cheese cost 94 rubles. This can be represented as:

2x + y = 94 ---(Equation 1)

From the second statement, we know that two identical packs of cottage cheese and one packet of milk cost 80 rubles. This can be represented as:

2y + x = 80 ---(Equation 2)

We can solve this system of equations to find the values of x and y.

Solution

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

From Equation 1, we can express y in terms of x:

y = 94 - 2x ---(Equation 3)

Substituting Equation 3 into Equation 2:

2(94 - 2x) + x = 80

Simplifying the equation:

188 - 4x + x = 80

Combining like terms:

-3x = -108

Dividing both sides by -3:

x = 36

Now that we have the value of x, we can substitute it back into Equation 3 to find y:

y = 94 - 2(36) y = 94 - 72 y = 22

Answer

Therefore, one packet of milk is 36 rubles more expensive than one pack of cottage cheese.