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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?

User Cgross
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1 Answer

5 votes

Answer:

The newspaper has 4 selections in total.

Explanation:

Here, the number of pages in each selections = 8

Now, 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 = 32

Hence, the paper has 4 selections in total.

User StevenDStanton
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