Question

Смешали 3 раствора сахарного сиропа в первом растворе массой 200 г содержится 10% сахара во втором растворе массой 800 г содержится 20% сахара в третьем растворе массой 500 г содержится 224% сахара Сколько процентов сахара содержится в полученном в смешанном растворе?

Answer 1

Answer in detail. Three solutions of sugar syrup were mixed. In the first solution with a mass of 200 g, 10% of sugar is contained. In the second solution with a mass of 800 g, 20% of sugar is contained. In the third solution with a mass of 500 g, 224% of sugar is contained. How many percent of sugar is contained in the resulting mixed solution?

To answer this question, we need to find the total mass of sugar and the total mass of the mixed solution, and then calculate the percentage of sugar in the mixed solution. Here are the steps:

- First, we find the mass of sugar in each solution by multiplying the mass of the solution by the percentage of sugar. For example, the mass of sugar in the first solution is 200 g * 10% = 20 g. Similarly, the mass of sugar in the second solution is 800 g * 20% = 160 g, and the mass of sugar in the third solution is 500 g * 224% = 1120 g. - Next, we find the total mass of sugar by adding the masses of sugar in each solution. The total mass of sugar is 20 g + 160 g + 1120 g = 1300 g. - Then, we find the total mass of the mixed solution by adding the masses of the solutions. The total mass of the mixed solution is 200 g + 800 g + 500 g = 1500 g. - Finally, we find the percentage of sugar in the mixed solution by dividing the total mass of sugar by the total mass of the mixed solution and multiplying by 100%. The percentage of sugar in the mixed solution is 1300 g / 1500 g * 100% = 86.67%.

Therefore, the answer is that the mixed solution contains 86.67% of sugar. You can also find similar problems and solutions on the web . I hope this helps.

Answer 2

Calculation of Sugar Content in the Mixed Solution

To calculate the percentage of sugar in the mixed solution, we need to consider the sugar content in each of the three solutions and their respective masses.

Let's denote the sugar content in the first solution as S1, the sugar content in the second solution as S2, and the sugar content in the third solution as S3.

Given: - Mass of the first solution (S1) = 200 g, with a sugar content of 10% - Mass of the second solution (S2) = 800 g, with a sugar content of 20% - Mass of the third solution (S3) = 500 g, with a sugar content of 224%

To calculate the total sugar content in the mixed solution, we need to find the sum of the sugar content in each solution.

The sugar content in the first solution (S1) can be calculated as: Sugar content in S1 = (10/100) * 200 g = 20 g.

The sugar content in the second solution (S2) can be calculated as: Sugar content in S2 = (20/100) * 800 g = 160 g.

The sugar content in the third solution (S3) can be calculated as: Sugar content in S3 = (224/100) * 500 g = 1120 g.

Now, we can calculate the total sugar content in the mixed solution by summing up the sugar content in each solution: Total sugar content = Sugar content in S1 + Sugar content in S2 + Sugar content in S3.

Substituting the values, we get: Total sugar content = 20 g + 160 g + 1120 g = 1300 g.

To calculate the percentage of sugar in the mixed solution, we divide the total sugar content by the total mass of the mixed solution and multiply by 100: Percentage of sugar in the mixed solution = (Total sugar content / Total mass of the mixed solution) * 100.

However, the total mass of the mixed solution is not provided in the question. Please provide the total mass of the mixed solution so that we can calculate the percentage of sugar accurately.