Question

Масса трех кусков мрамора-280 кг.Первый кусок на 32 кг тяжелее второго,а второй на 14 кг легче третьего.Найдите массу каждого куска мрамора.Решить уравнением. (Желательно подробно,с *пусть,траляляля..* ну вообщем как бы вы написали в тетради)

Answer 1

1)х+32+х+14+х=280

3х=280-32-14

3х=234

х=234:3

х=78кг-второй кусок.

х+32=78+32=110кг-первый кусок.

14+х=14+78=92кг-третий кусок.

Answer 2

Problem Analysis

We are given the total mass of three marble pieces, and we need to find the mass of each individual piece. We are also given the information that the first piece is 32 kg heavier than the second piece, and the second piece is 14 kg lighter than the third piece. We can solve this problem by setting up a system of equations and solving them simultaneously.

Solution

Let's assume the mass of the second piece is x kg.

According to the given information: - The first piece is 32 kg heavier than the second piece, so its mass is x + 32 kg. - The second piece is 14 kg lighter than the third piece, so its mass is x + 14 kg. - The total mass of the three pieces is 280 kg, so we can set up the equation: (x + 32) + (x) + (x + 14) = 280.

Now, let's solve this equation to find the value of x and then calculate the mass of each piece.

(x + 32) + (x) + (x + 14) = 280

Simplifying the equation: 3x + 46 = 280

Subtracting 46 from both sides: 3x = 234

Dividing both sides by 3: x = 78

Now that we have the value of x, we can calculate the mass of each piece: - The first piece: x + 32 = 78 + 32 = 110 kg - The second piece: x = 78 kg - The third piece: x + 14 = 78 + 14 = 92 kg

Therefore, the mass of each marble piece is as follows: - The first piece: 110 kg - The second piece: 78 kg - The third piece: 92 kg

Conclusion

The mass of each marble piece is as follows: - The first piece: 110 kg - The second piece: 78 kg - The third piece: 92 kg

Please note that the solution provided above is based on the information given in the problem statement.