Salt was added to 400 g of a 5% salt solution and a 24% solution was obtained.

Salt was added to 400 g of a 5% salt solution and a 24% solution was obtained. What is the mass of the resulting solution in grams?

Let the mass of salt to be added to the solution be mc. Then the mass of the resulting solution will be:

400 + ms

Find the mass of salt in the original solution. To do this, multiply the weight of the original solution by 0.05:

400 * 0.05 = 20 g of salt in the original solution.

Then, the mass of salt in the resulting solution will be:

20 + mc.

It turns out that if the weight of the resulting solution is multiplied by 0.24, we get the weight of the salt in the resulting solution:

(400 + ms) * 0.24 = 20 + ms

96 + 0.24mc = 20 + mc

76 = 0.76ms

mc = 100 g weight of added salt.

Thus, the mass of the resulting solution will be:

400 + mс = 400 + 100 = 500 g

Answer: the mass of the resulting solution is 500 g.