Question

Из 100 кг семян подсолнечника получается 50кг масла.Сколько нужно взять килограммов подсолнечника, что бы получить 9 т масла?Реши задачу разными способами. Заранее спасибо!!!

Answer 1

Решение на фото)))))

Answer 2

Если 100 кг-50кг значит 9х2=18 т подсолнечника 

Answer 3

Problem Analysis

To solve this problem, we need to determine how many kilograms of sunflower seeds are needed to produce 9 tons (9,000 kg) of oil, given that 100 kg of sunflower seeds produce 50 kg of oil.

Solution 1: Proportional Method

We can use a proportion to solve this problem. The ratio of oil produced to the weight of sunflower seeds is constant. Therefore, we can set up the following proportion:

50 kg of oil / 100 kg of sunflower seeds = 9,000 kg of oil / x kg of sunflower seeds

To find the value of x, we can cross-multiply and solve for x:

50 kg * x kg of sunflower seeds = 100 kg * 9,000 kg of oil

Simplifying the equation:

50x = 900,000

Dividing both sides by 50:

x = 18,000 kg of sunflower seeds

Therefore, you would need to take 18,000 kilograms of sunflower seeds to produce 9 tons of oil.

Solution 2: Division Method

Another way to solve this problem is by dividing the desired amount of oil by the oil yield per unit of sunflower seeds.

9,000 kg of oil / 50 kg of oil per 100 kg of sunflower seeds = x kg of sunflower seeds

Simplifying the equation:

9,000 kg * 100 kg of sunflower seeds / 50 kg of oil = x kg of sunflower seeds

Calculating the value of x:

x = 18,000 kg of sunflower seeds

Again, we find that you would need to take 18,000 kilograms of sunflower seeds to produce 9 tons of oil.

Solution 3: Ratio Method

We can also solve this problem using ratios. The ratio of oil produced to the weight of sunflower seeds is 50 kg of oil per 100 kg of sunflower seeds. We can set up the following ratio:

50 kg of oil : 100 kg of sunflower seeds = 9,000 kg of oil : x kg of sunflower seeds

To find the value of x, we can cross-multiply and solve for x:

50 kg of oil * x kg of sunflower seeds = 100 kg of sunflower seeds * 9,000 kg of oil

Simplifying the equation:

50x = 900,000

Dividing both sides by 50:

x = 18,000 kg of sunflower seeds

Once again, we find that you would need to take 18,000 kilograms of sunflower seeds to produce 9 tons of oil.

Conclusion

In conclusion, to produce 9 tons (9,000 kg) of oil, you would need to take 18,000 kilograms of sunflower seeds. This can be calculated using the proportional method, division method, or ratio method.