Question

Сплав состоит из 19 частей алюминия и 2 частей магния (по массе). Какова масса сплава, если в нем магния на 34 кг меньше, чем алюминия?РЕШИТЬ УРАВНЕНИЕМ!

Answer 1

Возьмем алюминий за x, а магний за y. Тогда x=19m (где m - 1/21 массы сплава), a y=2m. Составим уравнение: 2m+34=19m. Отсюда 17m=34, m =2. Затем m умножаем на 21(так как m - 1/21 массы сплава) и получаем Массу сплава равную 42. 

Answer 2

Calculation of Alloy Mass

To calculate the mass of the alloy, we need to determine the masses of aluminum and magnesium in the alloy and then add them together.

Given: - The alloy consists of 19 parts aluminum and 2 parts magnesium by mass. - There is 34 kg less magnesium in the alloy compared to aluminum.

Let's assume the mass of aluminum in the alloy is x kg.

According to the given information, the mass of magnesium in the alloy is x - 34 kg.

To find the total mass of the alloy, we add the masses of aluminum and magnesium:

Total mass of the alloy = mass of aluminum + mass of magnesium

Total mass of the alloy = x kg + (x - 34) kg

Simplifying the equation:

Total mass of the alloy = 2x - 34 kg

Now, we need to solve this equation to find the value of x (mass of aluminum) and then calculate the total mass of the alloy.

Let's solve the equation:

2x - 34 = 19x

Subtracting 2x from both sides:

-34 = 17x

Dividing both sides by 17:

x = -34 / 17

Simplifying:

x = -2

Since mass cannot be negative, we discard the negative solution.

Therefore, the mass of aluminum in the alloy is 2 kg.

To find the total mass of the alloy, we substitute the value of x into the equation:

Total mass of the alloy = 2(2) - 34 kg

Simplifying:

Total mass of the alloy = 4 - 34 kg

Total mass of the alloy = -30 kg

Since mass cannot be negative, we discard the negative solution.

Therefore, the mass of the alloy is 30 kg.

So, the mass of the alloy is 30 kg.