To determine how many pages of a 98-page magazine are used for advertisements when [tex]\( \frac{2}{3} \)[/tex] of a page is allocated for every 5 pages, follow these steps:
1. Calculate the number of groups of 5 pages in the 98-page magazine:
[tex]\[
\text{Number of groups} = \frac{98}{5} = 19.6
\][/tex]
2. Determine how many advertisement pages are allocated for each group of 5 pages:
[tex]\[
\text{Ad pages per group} = \frac{2}{3}
\][/tex]
3. Calculate the total number of advertisement pages by multiplying the number of groups by the number of advertisement pages per group:
[tex]\[
\text{Total ad pages} = 19.6 \times \frac{2}{3} = 13.066666666666666
\][/tex]
4. Round the total number of advertisement pages to the nearest whole number:
[tex]\[
\text{Rounded total ad pages} = 13
\][/tex]
Thus, to the nearest whole page, the number of pages of advertisements in the magazine is:
[tex]\[
\boxed{13}
\][/tex]
