Question

Масса коробки конфет и 2x пакетов урюка равна 550 гр.Масса 5 коробок конфет и 3xпакетов урюка равна 1 кг 700 гр.Какова масса коробки конфет?Какова масса пакета урюка?

Answer 1

Пусть масса коробки конфет х гр., а масса пакета урюка - у гр.

Складываем уравнение:

х + 2у = 550

5х + 3у = 1700

 

х = 550 - 2у

5*(550-2у)+3у = 1700

2750-10у+3у =1700

-7у = -1050

у = -1050:(-7)

у = 150 (гр.)- масса пакета урюка.

550-150*2 = 250 (гр.)- масса коробки конфет.

Проверяем:

5*250+3*150 = 1250+450= 1700

Ответ: 250 грамм масса коробки конфет и150 грамм масса пакета урюка. 

Answer 2

Problem Analysis

We are given two equations representing the total mass of candies and packets of uruka. We need to find the mass of the candy box and the mass of the uruka packet.

Let's assign variables to the unknowns: - Let's denote the mass of the candy box as x. - Let's denote the mass of the uruka packet as y.

Equation 1

The mass of the candy box and 2 packets of uruka is equal to 550 grams. We can write this equation as: x + 2y = 550 ---(Equation 1)

Equation 2

The mass of 5 candy boxes and 3 packets of uruka is equal to 1 kilogram and 700 grams (or 1700 grams). We can write this equation as: 5x + 3y = 1700 ---(Equation 2)

Now, we have a system of two equations with two unknowns. 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 method of substitution or elimination. Let's use the method of substitution.

From Equation 1, we can express x in terms of y: x = 550 - 2y ---(Equation 3)

Substituting Equation 3 into Equation 2, we get: 5(550 - 2y) + 3y = 1700

Simplifying the equation: 2750 - 10y + 3y = 1700 2750 - 7y = 1700

Now, we can solve this equation to find the value of y.

Calculating the Mass of the Uruka Packet (y)

2750 - 7y = 1700

Subtracting 2750 from both sides: -7y = -1050

Dividing both sides by -7: y = 150

Therefore, the mass of the uruka packet is 150 grams.

Calculating the Mass of the Candy Box (x)

Now that we know the value of y, we can substitute it back into Equation 3 to find the value of x.

x = 550 - 2y x = 550 - 2(150) x = 550 - 300 x = 250

Therefore, the mass of the candy box is 250 grams.

Final Answer

The mass of the candy box is 250 grams and the mass of the uruka packet is 150 grams.

Please let me know if I can help you with anything else.