Q:

A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into selections, and each selection has exactly 8 pages. How many selections does the newspaper have?

Accepted Solution

A:
Answer:The newspaper has 4 selections in total.Step-by-step explanation:Here, the number of pages in each selections  = 8Now, as the number of selections can not be a fraction or a negative number.So, the possible number of selections a paper can have is 1,2,3,4,5,....Total pages in Paper = 8 x ( Number of Selections in the paper)Now, if the paper has 1 selection, then the total pages in the newspaper                 = 1 x 8 = 8 pages  < 30 pages If the paper has 2 selection, then the total pages in the newspaper = 2 x 8 = 16 pages < 30 pages If the paper has 3 selection, then the total pages in the newspaper = 3 x 8 = 24 pages  < 30 pages if the paper has 4 selection, then the total pages in the newspaper = 4 x 8 = 32 pages if the paper has 5 selection, then the total pages in the newspaper = 5 x 8 = 40 pages Also, given " A newspaper has more than 30 pages and fewer than 40 pages" ⇒ The ONLY possible number of pages in the newspaper  = 32Hence, the paper has 4 selections in total.