Question

Арбуз весил 20 кг и содержал 99% воды. Когда он немного полежал (усох), то стал содержать 98 % воды. Сколько теперь весит арбуз?

Answer 1

Calculation of the Weight of the Watermelon

To calculate the weight of the watermelon after it has dried up slightly and now contains 98% water, we can use the following steps:

1. Determine the initial weight of the watermelon: 20 kg. 2. Calculate the weight of the water in the initial watermelon: 99% of 20 kg = 0.99 * 20 kg = 19.8 kg. 3. Calculate the weight of the remaining material (excluding water) in the initial watermelon: 20 kg - 19.8 kg = 0.2 kg. 4. Determine the weight of the watermelon after it has dried up: 0.2 kg (remaining material) + weight of water = total weight. 5. Calculate the weight of the water in the dried watermelon: 98% of the total weight = 0.98 * total weight. 6. Calculate the weight of the remaining material in the dried watermelon: total weight - weight of water.

Let's calculate the weight of the watermelon after it has dried up:

1. Determine the weight of the water in the initial watermelon: 0.99 * 20 kg = 19.8 kg. 2. Determine the weight of the remaining material in the initial watermelon: 20 kg - 19.8 kg = 0.2 kg. 3. Calculate the weight of the watermelon after it has dried up: - Weight of the remaining material: 0.2 kg. - Weight of the water: 98% of the total weight. - Total weight = weight of the remaining material + weight of the water. - 98% of the total weight = weight of the water. - Therefore, 0.2 kg + 0.98 * total weight = total weight. 4. Solve the equation to find the weight of the watermelon after it has dried up.

Let's solve the equation:

0.2 kg + 0.98 * total weight = total weight.

Subtracting 0.98 * total weight from both sides:

0.2 kg = 0.02 * total weight.

Dividing both sides by 0.02:

0.2 kg / 0.02 = total weight.

Therefore, the weight of the watermelon after it has dried up is:

Total weight = 0.2 kg / 0.02 = 10 kg.

So, the watermelon now weighs 10 kg after it has dried up slightly and contains 98% water.

Please let me know if there's anything else I can help you with!