In a theatre, 40% of the people in there were female. 20% of the males and 50% of the females wore spectacles. How many percent of the people in the theatre wore spectacles?
Question
In a theatre, 40% of the people in there were female. 20% of the males and 50% of the females wore spectacles. How many percent of the people in the theatre wore spectacles?
Solution
To solve this problem, we need to break it down into several steps:
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We know that 40% of the people in the theatre were female. This means that the remaining 60% were male.
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20% of the males wore spectacles. So, the percentage of people in the theatre who were male and wore spectacles is 20% of 60%, which is 12%.
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50% of the females wore spectacles. So, the percentage of people in the theatre who were female and wore spectacles is 50% of 40%, which is 20%.
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To find the total percentage of people in the theatre who wore spectacles, we add the percentage of males who wore spectacles to the percentage of females who wore spectacles. So, 12% + 20% = 32%.
Therefore, 32% of the people in the theatre wore spectacles.
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