Question

Масса коробки конфет и 2-× пакетов урюка равна 550 г.Масса 5 коробок конфет и 3-× пакетов урюка равна 1 кг 700 г . Какова масса коробки конфет? Какова масса пакета урюка?

Answer 1

Составим и решим систему:
x+2y=550
5x+3y=1700
x=550-2y
5(550-2y)+3y=1700
2750-10y+3y=1700
-7y=-1050
y=150(г)-масса пакета урюка.
X=550-2*150=550-300=250(г)-масса коробки конфет.
Ответ:250 г, 150г.

Answer 2

Problem Analysis

We are given the information that the sum of the mass of a box of chocolates and twice the mass of packets of "uryuk" (a type of snack) is equal to 550 grams. Additionally, the sum of the mass of 5 boxes of chocolates and three times the mass of packets of "uryuk" is equal to 1 kilogram and 700 grams. We need to find the mass of the box of chocolates and the mass of the packet of "uryuk".

Solution

Let's assume the mass of the box of chocolates is x grams and the mass of the packet of "uryuk" is y grams.

From the given information, we can set up the following equations:

Equation 1: x + 2y = 550 (1) Equation 2: 5x + 3y = 1700 (2)

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

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

Multiplying Equation 1 by 5, we get: 5x + 10y = 2750 (3)

Subtracting Equation 2 from Equation 3, we get: (5x + 10y) - (5x + 3y) = 2750 - 1700 7y = 1050

Dividing both sides of the equation by 7, we get: y = 150

Substituting the value of y into Equation 1, we get: x + 2(150) = 550 x + 300 = 550 x = 550 - 300 x = 250

Therefore, the mass of the box of chocolates is 250 grams and the mass of the packet of "uryuk" is 150 grams.

Answer

The mass of the box of chocolates is 250 grams and the mass of the packet of "uryuk" is 150 grams.