Question

Вместе 3 кг сахара и 2 кг печенья стоят 35 грн,а 1 кг сахара и 3 кг печенья стоят 35 грн.какова стоимость 1 кг сахара и 1 кг печенья

Answer 1

Пусть x - грн за 1 кг сахара

y - за 1 кг печенья.

 

3x + 2y = 35

x + 3y = 35 (система)

 

1) x+3y = 35

x = 35-3y

2)3(35-3y) + 2y = 35

105-9y + 2y = 35

-7y = -70

y = 10 грн - 1 кг. печенья.

3) x = 35-3*10

x = 35-30

x = 5 гнр - 1 кг сахара.

 

Answer 2

Calculation of the Cost of 1 kg of Sugar and 1 kg of Cookies

To calculate the cost of 1 kg of sugar and 1 kg of cookies, we can set up a system of equations based on the given information.

Let's assume the cost of 1 kg of sugar is x and the cost of 1 kg of cookies is y.

From the given information, we have two equations:

Equation 1: 3 kg of sugar + 2 kg of cookies = 35 grn Equation 2: 1 kg of sugar + 3 kg of cookies = 35 grn

We can rewrite these equations as follows:

Equation 1: 3x + 2y = 35 Equation 2: x + 3y = 35

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 2, we can express x in terms of y:

x = 35 - 3y

Substituting this value of x into Equation 1:

3(35 - 3y) + 2y = 35

Simplifying the equation:

105 - 9y + 2y = 35

Combining like terms:

-7y = -70

Dividing both sides by -7:

y = 10

Now that we have the value of y, we can substitute it back into Equation 2 to find the value of x:

x + 3(10) = 35

x + 30 = 35

x = 5

Therefore, the cost of 1 kg of sugar is 5 grn and the cost of 1 kg of cookies is 10 grn.

Please note that the search results did not provide specific information to directly answer this question. The calculation was done based on the given information and using mathematical methods.