Question

Общая масса трёх кусков гранита 156 кг.Кусок серого гранита тяжелее куска красного на 18 кг,а кусок красного гранита легче куска белого на 15 кг.Найди массу куска красного гранита

Answer 1

Пусть кусок красного весит х кг. тогда
серого- х+18; белого- х+15
х+(х+18)+(х+15)=156
3х=156-33
3х=123
х=123:3
х=41  кг
Ответ: масса куска красного гранита 41 кг

Answer 2

Calculation of the Mass of the Red Granite Piece

To find the mass of the red granite piece, we can use the given information about the relative weights of the gray, red, and white granite pieces.

Let's assign variables to the masses of the gray, red, and white granite pieces: - Mass of the gray granite piece: G - Mass of the red granite piece: R - Mass of the white granite piece: W

According to the information provided: 1. The gray granite piece is 18 kg heavier than the red granite piece. 2. The red granite piece is 15 kg lighter than the white granite piece.

Based on these relationships, we can set up the following equations:

Equation 1: G = R + 18 Equation 2: R = W - 15

To find the mass of the red granite piece (R), we need to solve these equations simultaneously.

Solving the Equations

Let's substitute Equation 2 into Equation 1 to eliminate the variable W:

G = (W - 15) + 18

Simplifying the equation:

G = W + 3

Now, we have two equations with two variables (G and W):

Equation 3: G = W + 3 Equation 4: R = W - 15

To solve these equations, we can use the information that the total mass of the three granite pieces is 156 kg:

G + R + W = 156

Substituting the values from Equations 3 and 4:

(W + 3) + (W - 15) + W = 156

Simplifying the equation:

3W - 12 = 156

Adding 12 to both sides:

3W = 168

Dividing both sides by 3:

W = 56

Now that we have the mass of the white granite piece (W), we can substitute this value back into Equation 4 to find the mass of the red granite piece (R):

R = 56 - 15 R = 41

Therefore, the mass of the red granite piece is 41 kg.

Answer

The mass of the red granite piece is 41 kg.