Question #254348

90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes. 3/10 of the women said Yes. What percentage of the men said No?


1
Expert's answer
2021-10-28T07:03:04-0400

The number of people that have watched expendables is 35150=90The number of women that have watched the movie is 31060=18Therefore the number of men that have watched the movie is 90 - 18 = 72The number of men that have not watched the movie is 90 -72 = 18Hence the percentage of men that have not watched the movie is18150100=12%\displaystyle \text{The number of people that have watched expendables is }\\ \frac{3}{5} \cdot 150= 90\\ \text{The number of women that have watched the movie is }\\ \frac{3}{10}\cdot 60 = 18\\ \text{Therefore the number of men that have watched the movie is 90 - 18 = 72}\\ \text{The number of men that have not watched the movie is 90 -72 = 18}\\ \text{Hence the percentage of men that have not watched the movie is}\\ \frac{18}{150} \cdot 100=12\%


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