Question

Купили 0.8 кг колбасы и 0.3 кг сыра . за все заплатили 377 рублей . Известно что 1 кг колбасы дешевле 1кг сыра на 120 рублей. сколько стоит 1 кг сыра?

Answer 1

Х - стоит 1 кг сыра
х-120 - стоит 1 кг колбасы
0,3х - стоит 0,3 кг сыра
0,8(х-120) - стоит 0,8 кг колбасы
0,3х+0,8(х-120)=377
0,3х+0,8х-96=377
1,1х=377+96
1,1х=473
х=473:1,1
х=430 (руб) стоит 1 кг сыра
Ответ: 1 кг сыра стоит 430 рублей

Answer 2

Calculation of the Cost of Cheese

To calculate the cost of 1 kg of cheese, we need to determine the price difference between 1 kg of sausage and 1 kg of cheese. We know that 1 kg of sausage is 120 rubles cheaper than 1 kg of cheese.

Let's assume the cost of 1 kg of cheese is x rubles. Since 1 kg of sausage is 120 rubles cheaper than 1 kg of cheese, the cost of 1 kg of sausage would be (x - 120) rubles.

According to the given information, 0.8 kg of sausage and 0.3 kg of cheese were purchased for a total of 377 rubles.

To calculate the cost of the purchased sausage, we multiply the weight of the sausage (0.8 kg) by the cost per kilogram, which is (x - 120) rubles. Similarly, for the cheese, we multiply the weight of the cheese (0.3 kg) by the cost per kilogram, which is x rubles.

The equation can be set up as follows:

0.8 * (x - 120) + 0.3 * x = 377

Now, let's solve this equation to find the value of x, which represents the cost of 1 kg of cheese.

0.8x - 96 + 0.3x = 377 1.1x - 96 = 377 1.1x = 473 x = 473 / 1.1 x ≈ 430.91

Therefore, the approximate cost of 1 kg of cheese is 430.91 rubles.

Please note that this is an approximate value and may not reflect the exact cost in the market.