Question

Пакет молока и две пачки творога стоят 80 руб.Два такие же пакета молока и одна пачка творога стоят 94 руб. Насколько пакет молока дороже пачки творога?

Answer 1

Пусть х-пачка молока,у-пачка творога.

составим уравнение:

2х+у=94 
х+2у=80 
х=80-2у 
2*(80-2у)+у=94 
160-3у=94 
у=22 
х=(94-22):2=36 

 

36-22=14 (руб.)
Ответ:на 14 рублей 1 пакет молока дороже 1 пачки творога.

 

Answer 2

Calculation of the Price Difference

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

Let's assume the price of a packet of milk is represented by x rubles, and the price of a packet of cottage cheese is represented by y rubles.

From the first equation, we know that a packet of milk and two packets of cottage cheese cost 80 rubles. This can be expressed as:

x + 2y = 80 From the second equation, we know that two packets of milk and one packet of cottage cheese cost 94 rubles. This can be expressed as:

2x + y = 94 To find the price difference between a packet of milk and a packet of cottage cheese, we need to subtract the price of a packet of cottage cheese from the price of a packet of milk:

x - y = ?

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

From the first equation, we can express x in terms of y:

x = 80 - 2y

Substituting this value of x into the second equation, we get:

2(80 - 2y) + y = 94

Simplifying the equation:

160 - 4y + y = 94

-3y = -66

y = 22

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

x + 2(22) = 80

x + 44 = 80

x = 36

Therefore, a packet of milk costs 36 rubles, and a packet of cottage cheese costs 22 rubles.

To find the price difference, we subtract the price of a packet of cottage cheese from the price of a packet of milk:

x - y = 36 - 22 = 14

Therefore, a packet of milk is 14 rubles more expensive than a packet of cottage cheese.

Please note that the prices used in this calculation are based on the given information and may not reflect the actual prices in the market.