Atenea has 2 5/6 pounds of trail mix. She makes seven 1/3-pound snack bags with the trail mix for her daily snack for the next week and gives the rest of the trail mix to her brother. How much trail mix does Atenea give to her brother?

Atenea has a total of 2 5/6 pounds of trail mix, which is the same as 17/6 pounds.

Each snack bag contains 1/3 pound, so for seven bags, she uses 7 * 1/3 = 7/3 pounds of trail mix.

Subtracting the trail mix used for the snack bags, Atenea has 17/6 - 7/3 = 17/6 - 14/6 = 3/6 = 1/2 pound left.

Atenea gives her brother 1/2 pound of trail mix.