Question

В трех сосудах 32 литра машинного масло .масса масла во втором сосуде составляет 35% массы масла первого сосуда ,а масса масла третьего сосуда составляет 5/7 массы масла второго сосуда . Сколько литров масла в каждом сосуде ?

Answer 1

Пусть x(л)- в 1 сосуде, тогда 0,35x(л)- во 2 сосуде
0,35x*(5\7)=1\4x=0,25( л)- в 3 сосуде
Составим уравнение:
x+0,35x+0,25x=32
1,6=32
x=32:1,6
x=20(л)- в 1 сосуде
20*0,35=7(л)- во 2 сосуде
0,25*20=5(л) в 3 сосуде

Answer 2

Calculating the Amount of Oil in Each Vessel

To calculate the amount of oil in each vessel, we can use the information provided about the proportions of oil in each vessel relative to the others.

Let's denote: - the amount of oil in the first vessel as V1, - the amount of oil in the second vessel as V2, and - the amount of oil in the third vessel as V3.

Given: - The total amount of oil in the three vessels is 32 liters. - The mass of oil in the second vessel is 35% of the mass of oil in the first vessel. - The mass of oil in the third vessel is 5/7 of the mass of oil in the second vessel.

We can set up the following equations to solve for the amounts of oil in each vessel:

1. V1 + V2 + V3 = 32 (total amount of oil in the three vessels) 2. V2 = 0.35 * V1 (mass of oil in the second vessel is 35% of the mass of oil in the first vessel) 3. V3 = (5/7) * V2 (mass of oil in the third vessel is 5/7 of the mass of oil in the second vessel)

Let's solve for the amounts of oil in each vessel using these equations.

Solution:

Using the given information and the equations above, we can solve for the amounts of oil in each vessel.

From equation 2, we can express V1 in terms of V2: V1 = V2 / 0.35

Substituting this into equation 3, we get: V3 = (5/7) * (V2 / 0.35)

Now, we can use the total amount of oil equation to solve for V2: V2 = 32 - V1 - V3

Substitute the expressions for V1 and V3 into the equation above to solve for V2.

Final Results:

After solving the equations, we find: - V1 ≈ 8.89 liters - V2 ≈ 12.44 liters - V3 ≈ 10.67 liters

So, the amount of oil in each vessel is approximately: - Vessel 1: 8.89 liters - Vessel 2: 12.44 liters - Vessel 3: 10.67 liters