Neco 2023 Data Processing Question 16

A user has three types of media files: videos (12\,GB), photos (3\,GB) and documents (0.8\,GB). A compression algorithm reduces video size by 40\% and photo size by 25\% while documents remain unchanged. The user must back up the files for four weeks. In week\,1 a full backup of all compressed files is made. In each subsequent week the user adds new video content of 1.2\,GB and new photos of 0.3\,GB; after compression these additions become 0.72\,GB and 0.225\,GB respectively. The user can choose either (A) a full backup each week (storing all compressed files) or (B) an incremental backup (storing only the new compressed data each week). Assuming a 32\,GB external hard‑drive, which backup method uses less total storage after four weeks and by how many gigabytes? Provide the answer to two decimal places.