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Question
In a class of 40 students, `1/5` of the total number of students like to eat rice only, `2/5` of the total number of students like to eat chapati only and the remaining students like to eat both. What fraction of the total number of students like to eat both?
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Solution
Total number of students = 40 ...[Given]
Students who eat rice only
= `1/5` of total students
= `1/5 xx 40`
= 8
Students who eat chapati only
= `2/5` of total students
= `2/5 xx 40`
= 16
∴ Students who eat both chapati and rice
= Total number of students – (Students who eat rice only + Students who eat chapati only)
= 40 – (8 + 16)
= 40 – 24
= 16
∴ Fraction of students who eat both chapati and rice
= `"Number of students eat both chapati and rice"/"Total number of students"`
= `16/40`
= `2/5`
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