Question

Масса сосуда с жидкостью 550г. Масса пустого сосуда составляет 2/9 от массы жидкости. Найдите массу пустого сосуда и массу жидкости

Answer 1

500=mж+2*mж/9=11*mж/9⇒mж=450 грамм - масса жидкости. Масса сосуда m=2*450/9=100 грамм. Суммарно 450+100=550- верно!

Ответ: масса пустого сосуда 100 грамм, масса жидкости 450 грамм.

Answer 2

Problem Analysis

We are given the mass of a vessel containing liquid and the mass of the empty vessel. We need to find the mass of the empty vessel and the mass of the liquid.

Given Information

- Mass of the vessel with liquid: 550g - Mass of the empty vessel: 2/9 of the mass of the liquid

Solution

Let's assume the mass of the empty vessel is x and the mass of the liquid is y.

From the given information, we can set up the following equations:

Equation 1: x + y = 550g (since the total mass of the vessel with liquid is 550g)

Equation 2: x = (2/9) * y (since the mass of the empty vessel is 2/9 of the mass of the liquid)

To solve this system of equations, we can substitute Equation 2 into Equation 1:

(2/9) * y + y = 550g

Simplifying the equation:

(11/9) * y = 550g

Now, we can solve for y:

y = (550g * 9) / 11

y ≈ 450g

Substituting the value of y back into Equation 2, we can solve for x:

x = (2/9) * 450g

x ≈ 100g

Therefore, the mass of the empty vessel is approximately 100g and the mass of the liquid is approximately 450g.

Answer

The mass of the empty vessel is approximately 100g and the mass of the liquid is approximately 450g.