Question

Для лужения взяли,40% -ный сплав олова и 60% -ный сплав свинца, причём масса сплава свинца на 20 кг больше массы сплава олова. В результате получился сплав, на 52,5%состоящий из олова и свинца. Какова масса (в кг) первоначальных сплавов? В ответ запишите сумму полученных значений.

Answer 1

Ответ: 392

Пошаговое объяснение:

X-40%

(x+20)-60%

40x/100+60×(x+20)/100=52,5(2x+20)/100

40x+60x+120=105x+1050

5x=930

X=186

186×2+20=392

Рада была помочь! :)

Answer 2

Problem Analysis

We are given that a solder alloy is made up of 40% lead and 60% tin. The mass of the lead alloy is 20 kg more than the mass of the tin alloy. The resulting alloy is composed of 52.5% lead and tin. We need to find the masses of the initial lead and tin alloys.

Solution

Let's assume the mass of the tin alloy is x kg. Since the mass of the lead alloy is 20 kg more than the mass of the tin alloy, the mass of the lead alloy is x + 20 kg.

We can set up the following equation based on the percentage composition of the resulting alloy:

0.4(x + 20) + 0.6x = 0.525(x + x + 20)

Simplifying the equation:

0.4x + 8 + 0.6x = 1.05(2x + 20) 0.4x + 0.6x = 2.1x + 21 1x = 21 x = 21

Therefore, the mass of the tin alloy is 21 kg, and the mass of the lead alloy is 21 + 20 = 41 kg.

The sum of the masses of the initial alloys is 21 + 41 = 62 kg.

Answer

The sum of the masses of the initial alloys is 62 kg.