Answer:
She bought 5 designer shirts.
Explanation:
Let d=designer shirts and p=plain shirts
create the following equations
Total shirts. d + p = 15
Total cost 40d + 12p = 320
use the first equation and solve for p and substitute into the second equation and solve for d
p=15-d
40d + 12(15-d) = 320
40d + 180 -12d = 320
28d = 140
d = 5