Question

масса фляги с водой равна 29 кг.Когда из неё половину воды перелили в бидон,то масса фляги стала равна 16 кг.Какова масса фляги?

Answer 1

х -масса фляги, у - масса воды.

х + у = 29                  х + у  = 29              Вычитаем из 2-го - 1-ое.

х + (у/2) = 16           2х + у = 32                 х = 3

Ответ: 3 кг.

Answer 2

29-16=13(кг)-масса половины воды

16-13=3(кг)-масса фляги

Ответ. 3 кг. 

Answer 3

Problem Analysis

We are given that the total mass of a water bottle is 29 kg. When half of the water is poured into another container, the mass of the bottle becomes 16 kg. We need to find the mass of the bottle.

Solution

Let's assume the mass of the water in the bottle is x kg. Since the total mass of the bottle and water is 29 kg, we can write the equation:

Mass of bottle + Mass of water = Total mass Bottle mass + x kg = 29 kg

Similarly, when half of the water is poured into another container, the mass of the bottle becomes 16 kg. We can write the equation:

Bottle mass + (x/2) kg = 16 kg

Now we have two equations with two unknowns. We can solve these equations simultaneously to find the values of the bottle mass (Bottle mass) and the mass of water (x).

Let's solve the equations:

Equation 1: Bottle mass + x kg = 29 kg Equation 2: Bottle mass + (x/2) kg = 16 kg

Subtracting Equation 2 from Equation 1, we get:

(x/2) kg = 13 kg

Multiplying both sides by 2, we get:

x kg = 26 kg

Now we can substitute the value of x into Equation 1 to find the bottle mass:

Bottle mass + 26 kg = 29 kg

Subtracting 26 kg from both sides, we get:

Bottle mass = 3 kg

Therefore, the mass of the bottle is 3 kg.

Answer

The mass of the bottle is 3 kg.