Step 1 :Lucy bought \(12\) packs of cookies and \(16\) packs of noodles.
Step 2 :To find the total number of packs of groceries Lucy bought, we need to add the number of packs of cookies and the number of packs of noodles: \(12 + 16\).
Step 3 :\(12 + 16 = 28\)
Step 4 :\(\boxed{28}\) packs of groceries were bought by Lucy in all.