Question

A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements?

Answer 1

Let x be the number of pages of advertisements.

Write a proportion from the table:

$\dfrac{2}{3}$ of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

$\dfrac{\dfrac{2}{3}}{x}=\dfrac{5}{98}.$

Find x:

$x=\dfrac{\dfrac{2}{3}\cdot 98}{5}=\dfrac{196}{15}=13\dfrac{1}{13}.$

Answer: 13 whole pages and $\dfrac{1}{13}$ of 14th page are advertisments, so 14 pages contain advertisments.