Question

Купили0,8кг колбасы и 0,3 кг сыра . За всю покупку заплатили 25,56 р. Известно что 1 кг колбасы дешевле 1 кг сыра на 4,9 р. Сколько стоит 1 кг сыра ?

Answer 1

1) 0.8*x+0.3*у=25.56
у-х=4,9,

2) у=4,9+х
0,8*х+0,3*(4,9+Х)=25,56, отсюда находим х.
1,1*х=24,09,
х= 21,9,
у=26,8

ответ: сыр стоит 26,8

Answer 2

Calculation of the Cost of Cheese

To calculate the cost of 1 kg of cheese, we can use the information provided.

We know that 0.8 kg of sausage and 0.3 kg of cheese were purchased for a total of 25.56 rubles. Additionally, it is stated that 1 kg of sausage is cheaper than 1 kg of cheese by 4.9 rubles.

Let's break down the given information:

- Amount of sausage purchased: 0.8 kg - Amount of cheese purchased: 0.3 kg - Total cost of the purchase: 25.56 rubles - Price difference between 1 kg of sausage and 1 kg of cheese: 4.9 rubles

To find the cost of 1 kg of cheese, we can set up the following equation:

Cost of 0.8 kg of sausage + Cost of 0.3 kg of cheese = Total cost of the purchase

Let's calculate the cost of 0.8 kg of sausage:

0.8 kg * (Cost of 1 kg of sausage) = Cost of 0.8 kg of sausage

Now, let's calculate the cost of 0.3 kg of cheese:

0.3 kg * (Cost of 1 kg of cheese) = Cost of 0.3 kg of cheese

Substituting these values into the equation, we have:

(Cost of 0.8 kg of sausage) + (Cost of 0.3 kg of cheese) = 25.56 rubles

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * (Cost of 1 kg of cheese) = 25.56 rubles

We also know that 1 kg of sausage is cheaper than 1 kg of cheese by 4.9 rubles:

(Cost of 1 kg of cheese) = (Cost of 1 kg of sausage) - 4.9 rubles

Now, let's substitute this into the equation:

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * ((Cost of 1 kg of sausage) - 4.9 rubles) = 25.56 rubles

Simplifying the equation:

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * (Cost of 1 kg of sausage) - 0.3 kg * 4.9 rubles = 25.56 rubles

Combining like terms:

(0.8 kg + 0.3 kg) * (Cost of 1 kg of sausage) - 0.3 kg * 4.9 rubles = 25.56 rubles

1.1 kg * (Cost of 1 kg of sausage) - 0.3 kg * 4.9 rubles = 25.56 rubles

Now, we can solve for the cost of 1 kg of cheese:

1.1 kg * (Cost of 1 kg of sausage) - 0.3 kg * 4.9 rubles = 25.56 rubles

1.1 kg * (Cost of 1 kg of sausage) = 25.56 rubles + 0.3 kg * 4.9 rubles

1.1 kg * (Cost of 1 kg of sausage) = 25.56 rubles + 1.47 rubles

1.1 kg * (Cost of 1 kg of sausage) = 27.03 rubles

Now, we need to find the cost of 1 kg of sausage. Let's use the given information that 0.8 kg of sausage and 0.3 kg of cheese were purchased for a total of 25.56 rubles:

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * (Cost of 1 kg of cheese) = 25.56 rubles

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * ((Cost of 1 kg of sausage) - 4.9 rubles) = 25.56 rubles

Simplifying the equation:

0.8 kg * (Cost of 1 kg of sausage) + 0.3 kg * (Cost of 1 kg of sausage) - 0.3 kg * 4.9 rubles = 25.56 rubles

Combining like terms:

(0.8 kg + 0.3 kg) * (Cost of