Question

ДАЮ 35 БАЛЛОВ Грамм золота стоит в 2 раза больше чем грамм серебра. Пять грамм золота и семь грам серебра стоят вместе 1870. Найти стоимость грамм и золота

Answer 1

Ответ:

110 и 220

Пошаговое объяснение:

Вариант 1:

пусть х - стоит 1 гр серебра, тогда 2х - стоит 1 гр золота, составим уравнение:

7х+5*2х=1870

7х+10х=1870

17х=1870

х=1870:17

х=110 стоит 1гр серебра

2х=110*2

2х=220 стоит 1 гр золота

Вариант 2:

пусть 1 часть стоит 1 гр серебра, тогда 1*2=2 части стоит 1 гр золота

1) 1*7+2*5=7+10=17 частей

2) 1870:17=110 равна 1 часть и столько стоит 1гр серебра

3) 110*2=220 стоит 1 гр золота

Answer 2

Calculation of Gold and Silver Prices

To find the cost of one gram of gold and one gram of silver, we can set up a system of equations based on the given information.

Let's assume that the cost of one gram of gold is x and the cost of one gram of silver is y.

According to the given information, we know that: - One gram of gold is worth twice as much as one gram of silver: x = 2y. - Five grams of gold and seven grams of silver together cost 1870: 5x + 7y = 1870.

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use the substitution method.

From the first equation, we can express x in terms of y: x = 2y.

Substituting this value of x into the second equation, we get: 5(2y) + 7y = 1870.

Simplifying the equation, we have: 10y + 7y = 1870, 17y = 1870.

Dividing both sides of the equation by 17, we find: y = 110.

Now, we can substitute the value of y back into the first equation to find x: x = 2(110), x = 220.

Therefore, the cost of one gram of gold is 220 and the cost of one gram of silver is 110.

Answer

The cost of one gram of gold is 220 and the cost of one gram of silver is 110.

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