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:

`(2)/(3)` of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

`((2)/(3))/(x)=(5)/(98).`

Find x:

`x=((2)/(3)\cdot 98)/(5)=(196)/(15)=13(1)/(13).`

Answer: 13 whole pages and
`(1)/(13)` of 14th page are advertisments, so 14 pages contain advertisments.