Final answer:
The greatest number of scrapbook pages Tara can make is 8, with each page containing 3 photos and 1 newspaper clipping.
Step-by-step explanation:
The student question asks about finding the greatest number of scrapbook pages Tara can make with a uniform distribution of photos and newspaper clippings. We are told Tara has 24 photos and 8 newspaper clippings. To find the answer, we need to calculate the greatest common divisor (GCD) of 24 and 8, which represents the largest number that can divide both without any remainder.
The GCD of 24 and 8 is 8, meaning Tara can have up to 8 scrapbook pages with an equal number of photos and clippings on each page. Since she has 24 photos and 8 clippings, she can place 3 photos and 1 clipping on each of the 8 pages.