Question

Коробка с виноградом в 4 раза легче, чем коробка с бананами. Коробка с бананами на 12 кг тяжелее коробки с виноградом. Найди массу коробки с виноградом. Помогите решить задачу!

Answer 1

Х кг виноград
3х с бананами
3х-х=12
2х=12
х= 6 кг масса коробки с виноградом

Answer 2

Problem Analysis

We are given the following information: - A box of grapes is 4 times lighter than a box of bananas. - The box of bananas weighs 12 kg more than the box of grapes.

We need to find the mass of the box of grapes.

Solution

Let's assume the mass of the box of grapes is x kg.

According to the given information: - The mass of the box of bananas is x + 12 kg. - The box of grapes is 4 times lighter than the box of bananas, so the mass of the box of grapes is (x + 12)/4 kg.

To find the value of x, we can set up the equation:

(x + 12)/4 = x

Now, let's solve this equation to find the mass of the box of grapes.

Solving the Equation

To solve the equation, we can start by multiplying both sides by 4 to eliminate the fraction:

(x + 12) = 4x

Expanding the equation:

x + 12 = 4x

Next, we can subtract x from both sides to isolate the variable:

12 = 3x

Finally, we can divide both sides by 3 to solve for x:

x = 12/3 = 4

Therefore, the mass of the box of grapes is 4 kg.

Answer

The mass of the box of grapes is 4 kg.

Verification

Let's verify our answer using the given information.

According to the problem statement, the box of bananas weighs 12 kg more than the box of grapes. Since the mass of the box of grapes is 4 kg, the mass of the box of bananas should be 4 kg + 12 kg = 16 kg.

We can see that the box of bananas is indeed 12 kg heavier than the box of grapes, confirming our answer.

Conclusion

The mass of the box of grapes is 4 kg.