Solution:
Given that Kyle only took his shower 264 times when he was told 330 times, this implies that the percentage of times he took his shower is evaluated as
![\begin{gathered} (264)/(330)*100 \\ =(4)/(5)*100 \\ =80\% \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/tmoh9bnckz6c2t6rmojnm5e9ibohxxlk93.png)
Since he took a shower 80% of the time, the percentage of time he pretended is thus evaluated as
![\begin{gathered} (100-80)\% \\ =20\% \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/15c6xpmc9iuic8t6pu5sz4ribsz292o7dg.png)
Hence, he pretended to take a shower 20% of the time.