Question

Решите задачу масса сосуда с жидкостью составляет 660г масса пустого сосуда составляет 2/9 от массы жидкости найдите массу пустого сосуда и массу жидкости находящейся в этом сосуде

Answer 1

Пусть х-масса жидкости, то масса пустого сосуда 2/9х, Значит масса сосуда с жидкостью:
х+2/9х=660
11/9х=660
х=660:11/9=540 гр
Значит масса пустого сосуда 540*2/9=120 гр.
540 гр.-масса жидкости

Answer 2

Problem Analysis

To solve this problem, we need to find the mass of the empty vessel and the mass of the liquid in the vessel. We are given that the mass of the vessel with the liquid is 660g, and the mass of the empty vessel is 2/9 of the mass of the liquid.

Solution

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

According to the problem, we have two equations: 1. x + y = 660 (equation 1) 2. x = (2/9) * y (equation 2)

To solve these equations, we can substitute the value of x from equation 2 into equation 1.

Substituting x = (2/9) * y into equation 1, we get: (2/9) * y + y = 660

Simplifying the equation, we have: (11/9) * y = 660

To find the value of y, we can multiply both sides of the equation by (9/11): y = (660 * 9) / 11

Now, we can calculate the value of y: y = 540g

Substituting the value of y into equation 2, we can find the value of x: x = (2/9) * 540 x = 120g

Therefore, the mass of the empty vessel is 120g and the mass of the liquid in the vessel is 540g.

Answer

The mass of the empty vessel is 120g and the mass of the liquid in the vessel is 540g.