Question

На левой чашке весов. находится 5 качан.капуст.с один.массой и гиря массой 500г,а на прав.чаше 2 кочана капусты и гиря массой 2 кг.составить линейные урав.где масса одного кочана капусты равна у кг.

Answer 1

5y+500=2y+2

5y-2y=2-500

3y=-498

y=166

Answer 2

5-2=3 качан.капуст

2 кг=2000гр.

2000-500=1500гр.

1500/3=500гр

500=0,5кг

ответ: масса одного кочана капусты равна  0,5кг. 

Answer 3

Given Information:

On the left side of the scale, there are 5 cabbages with a mass of 1 unit each, along with a weight of 500g. On the right side of the scale, there are 2 cabbages and a weight of 2kg.

Formulating Linear Equations:

To solve this problem, we can set up a system of linear equations based on the given information. Let's denote the mass of one cabbage as 'u' kg.

1. The total mass on the left side of the scale can be calculated as follows: - Mass of 5 cabbages = 5u kg - Mass of the weight = 500g = 0.5 kg - Total mass on the left side = 5u + 0.5 kg

2. The total mass on the right side of the scale can be calculated as follows: - Mass of 2 cabbages = 2u kg - Mass of the weight = 2kg - Total mass on the right side = 2u + 2 kg

Since the scale is balanced, the total mass on the left side should be equal to the total mass on the right side. Therefore, we can set up the following equation:

5u + 0.5 = 2u + 2

Solving the Equation:

To solve the equation, we can simplify it by subtracting 2u from both sides:

5u - 2u + 0.5 = 2u - 2u + 2

Simplifying further:

3u + 0.5 = 2

Subtracting 0.5 from both sides:

3u = 1.5

Finally, dividing both sides by 3:

u = 0.5

Conclusion:

The mass of one cabbage is 0.5 kg.