Question

Реши задачу с помощью пропорций клип Лав из золота и серебра отношение массы золота к массе серебра равно 3:5 масса серебра на12 грамм больше чем масса золота Сколько граммов составляет Масса сплава Сколько граммов золота В сплаве

Answer 1

Пусть масса золота х,тогда 
х/(х+12)=3/5
5х=3*(х+12)
5х-3х=36
2х=36
х=18
1)12+18=30 г-масса серебра
2)18+30=48 г-масса сплава
Ответ:масса сплава 48г,масса золота в сплаве 18 г

Answer 2

Problem Analysis

To solve this problem using proportions, we need to set up a ratio between the mass of gold and the mass of silver. We are given that the ratio of gold to silver is 3:5. Additionally, we know that the mass of silver is 12 grams more than the mass of gold.

Solution

Let's assume the mass of gold is x grams. Since the mass of silver is 12 grams more than the mass of gold, the mass of silver can be represented as x + 12 grams.

Using the given ratio of gold to silver (3:5), we can set up the following proportion:

x / (x + 12) = 3 / 5

To solve for x, we can cross-multiply and solve the resulting equation:

5x = 3(x + 12)

Simplifying the equation:

5x = 3x + 36

2x = 36

x = 18

Therefore, the mass of gold is 18 grams.

To find the mass of the alloy, we need to add the mass of gold and silver:

Mass of alloy = Mass of gold + Mass of silver

Mass of alloy = 18 grams + (18 grams + 12 grams)

Mass of alloy = 18 grams + 30 grams

Mass of alloy = 48 grams

So, the mass of the alloy is 48 grams.

Answer

The mass of gold in the alloy is 18 grams and the mass of the alloy is 48 grams.