Question

Сплав меди с оловом содержит 5% меди. Сколько нужно добавить меди к слитку сплава весом 36 кг, чтобы в образовавшемся новом сплаве содержание меди стало 40%?

Answer 1

найдем массу меди в исходном сплаве 36*0,05=1,8

пусть у масса дабавленной меди, тогда масса меди в новом сплаве

1,8+у, а масса сплава 36+у

(36+у)*0,4=1,8+y

14,4+0,4y=1,8+y

12,6=0,6y

y=21

надо добавить 21 кг меди

Answer 2

Calculation of Copper Addition to the Alloy

To determine the amount of copper that needs to be added to a 36 kg alloy with 5% copper content in order to achieve a 40% copper content in the resulting alloy, we can use the following calculation:

Let x be the amount of copper to be added in kilograms.

The initial amount of copper in the alloy is 5% of 36 kg, which is 0.05 * 36 kg = 1.8 kg.

The final amount of copper in the resulting alloy should be 40% of the total weight, which is 0.40 * (36 kg + x kg).

Setting up the equation:

1.8 kg + x kg = 0.40 * (36 kg + x kg)

Now, we can solve this equation to find the value of x.

Let's solve it step by step:

1.8 kg + x kg = 0.40 * 36 kg + 0.40 * x kg

1.8 kg + x kg = 14.4 kg + 0.40 * x kg

Subtracting 0.40 * x kg from both sides:

1.8 kg + x kg - 0.40 * x kg = 14.4 kg

Combining like terms:

1.8 kg + 0.60 * x kg = 14.4 kg

Subtracting 1.8 kg from both sides:

0.60 * x kg = 14.4 kg - 1.8 kg

0.60 * x kg = 12.6 kg

Dividing both sides by 0.60:

x kg = 12.6 kg / 0.60

x kg ≈ 21 kg

Therefore, approximately 21 kg of copper needs to be added to the 36 kg alloy in order to achieve a 40% copper content in the resulting alloy.

Note: The above calculation assumes that the volume of the alloy remains constant during the addition of copper. It is also important to consider the specific properties and characteristics of the alloy being used.