Question

A sugar solution was made by mixing 11qt. of a 70% sugar solution and 4 qt. of a 85% sugar solution. Find the concentration of the new mixture.

Answer 1

Explanation:

To find the concentration of the new mixture, we need to find the total amount of sugar in the mixture, and then divide it by the total volume of the mixture.

Let's first find the amount of sugar in each of the two original solutions:

70% solution: 11 qt. * 70% = 7.7 qt. of sugar

85% solution: 4 qt. * 85% = 3.4 qt. of sugar

Now we add the volume of the two original solutions to find the total volume of the new mixture:

Total volume: 11 qt. + 4 qt. = 15 qt.

And add the amount of sugar in the two original solutions to find the total amount of sugar in the new mixture:

Total sugar: 7.7 qt. + 3.4 qt. = 11.1 qt.

Finally, we divide the total amount of sugar by the total volume to find the concentration of the new mixture:

Concentration: 11.1 qt. / 15 qt. = 0.7407 (rounded to four decimal places).

So the new mixture is approximately 74.07% sugar.