Bill Lutes's dog is on a strict diet. The dog is to receive, among other nutrients, $38$ grams of protein and $5\mathrm{.}6$ grams of carbohydrates. Bill has only two food mixes available of the following compositions. How many grams of each mix should be used to obtain the right diet for his dog?

$\backslash$table$[[$Mix$,$Protein $(\%),$Carbohydrate $(\%)],[$Mix A$,50,8],[$Mix B$,20,2]]$

The right diet is obtained by using $g$ of mix A and $g$ of mix $B.$