Can Salt Change Water's Density

Can salt change water’s density? I conducted an experiment using common household items to find an answer to my question. The procedure involves filling two cups with two hundred fifty milliliters of water. Then, mixing teaspoons of salt in water one at a time, until you’re able to submerge a raw egg in the solution and have it float up. My hypothesis is, salt does infact change water’s density, and if the egg floats it’s proof of density change in the water, because it must be less dense than the solution in order to float.

The procedure is as follows, I filled two cups with two hundred fifty milliliters of water and mixed four teaspoons of salt in one of the cups. Next, I placed an egg in both cups, the cup that did not receive the salt,