Question

1179. Фермер продав на базарі 8 кг сала і 15 кг коп- ченого м'яса за 1290 грн. Скільки коштував 1 кг сала й1 кг копченого м'яса, якщо сало дешевше від м'яса на 40 грн за кілограм?​

Answer 1

Ответ:

мясо - 70 грн; сало - 30 грн.

Пошаговое объяснение:

1179. Фермер продал на базаре 8 кг сала и 15 кг копченого мяса за 1290 грн. Сколько стоил 1 кг сала й1 кг копченого мяса, если сало дешевле мяса на 40 грн за килограмм?​

Пусть х -цена 1 кг мяса, тогда

х - 40 - цена 1 кг сала

15х - деньги, полученные за мясо

8(х - 40) - деньги, полученные за сало

Уравнение:

15х + 8(х - 40) = 1290

15х + 8х - 320 = 1290

23х = 1610

х = 70 (грн) - стоит 1 кг мяса

х - 40 = 30 (грн) - стоит 1 кг сала

Answer 2

To find the cost of 1 kg of bacon and 1 kg of smoked meat, we can use the given information and solve the problem step by step.

Let's assume the cost of 1 kg of bacon is x (in hryvnias). Since the bacon is cheaper than the smoked meat by 40 hryvnias per kilogram, the cost of 1 kg of smoked meat would be x + 40 (in hryvnias).

According to the given information, the farmer sold 8 kg of bacon and 15 kg of smoked meat for a total of 1290 hryvnias.

To find the cost of 8 kg of bacon, we multiply the cost of 1 kg of bacon (x) by 8: 8 * x = 8x

To find the cost of 15 kg of smoked meat, we multiply the cost of 1 kg of smoked meat (x + 40) by 15: 15 * (x + 40) = 15x + 600

The total cost of the bacon and smoked meat is given as 1290 hryvnias, so we can set up the equation: 8x + 15x + 600 = 1290

Simplifying the equation: 23x + 600 = 1290 23x = 690 x = 30

Therefore, the cost of 1 kg of bacon is 30 hryvnias.

To find the cost of 1 kg of smoked meat, we can substitute the value of x into the equation: x + 40 = 30 + 40 = 70

Therefore, the cost of 1 kg of smoked meat is 70 hryvnias.

In conclusion: - 1 kg of bacon costs 30 hryvnias. - 1 kg of smoked meat costs 70 hryvnias.

Please note that these calculations are based on the given information and assumptions made.