Question

The given pie charts shows the viewership of different TV programs on a weekend. What fraction of the entire audience watches comedy movies over the weekend?

• A. $\frac{7}{16}$
• B. $\frac{3}{8}$
• C. $\frac{10}{128}$
• D. $\frac{21}{128}$

Answer 1

The correct option is D $\frac{21}{128}$

$\text{From the 1st pie chart, we find:}$


$\text{Fraction of audience that watches movies}=\frac{3}{8}$

$\text{Now, the 2nd pie chart shows the different}\text{types of movies this}\frac{3}{8}\text{th of the audience}\text{watches.}$


$\text{Fraction of movie-watchers that watch}\text{comedy movies}=\frac{7}{16}$

$⟹\text{Fraction of the entire audience that}\text{watches comedy movies on a weeked}=\frac{3}{8}\times \frac{7}{16}=\frac{3\times 7}{8\times 16}=\frac{21}{128}$