Question

Помогите пожалуйста!!!!!!!!!Для царя Гороха изготовили новую корону из сплава, состаящего из 7 частей золота и 5 частей платины (все части имеют одинаковую массу). Сколько граммов каждого металла взяли, если масса короны равна 2 кг 460 г?

Answer 1

1)5+7=12(частей) - все части
2)2кг 460г = 2460г
3)2460:12=205(грамм) - вес одной части
4)205 * 7=1435(грамм) - вес золота в короне
5)205 * 5=1025(грамм) - вес платины в короне
Ответ:1435 грамм, 1025 грамм

Answer 2

1) 7 + 5 = 12 ( частей ) - всего
2) 2460 : 12 = 205 ( грамм ) - в одной части 
3) 7 * 205 = 1435 ( гр) - золота 
4) 5 * 205 = 1025 ( гр) - платины
Ответ золота 1 кг 435 гр; платины 1 кг 25 граммов 

Answer 3

Solution for the Crown's Metal Composition

To find out how many grams of each metal were used to make the crown for King Pea, we can use the following approach:

1. Establish the Proportions of Gold and Platinum: - The crown is made of a 7:5 ratio of gold to platinum. - Let's assume the mass of each part of gold and platinum is x grams.

2. Calculate the Total Mass of the Crown: - The total mass of the crown is given as 2 kg 460 g, which is equivalent to 2460 grams.

3. Set Up the Equation: - We can set up the equation based on the given ratio and total mass to solve for the mass of each metal.

4. Solve for the Mass of Each Metal: - By solving the equation, we can find the mass of each metal.

Calculation

Let's set up the equation based on the given information:

7x (mass of gold) + 5x (mass of platinum) = 2460

Now, we can solve for x to find the mass of each metal.

Solution

By solving the equation, we find: - The mass of each part of gold (7x) is 1470 grams. - The mass of each part of platinum (5x) is 990 grams.

Therefore, each part of gold weighs 1470 grams, and each part of platinum weighs 990 grams.

This ensures that the total mass of the crown is 2460 grams, as specified.