Answer:
3/20 of the students in SSS 3 like swimming only.
Explanation:
To find the fractions of students who like both subjects, like football but not swimming, and like swimming only, we can use the given information and basic fraction calculations.
(a) To find the fraction of students who like both football and swimming, we need to find the intersection between the two groups.
Given that 5/8 of the students like football and 2/5 of the students like swimming, we can multiply the fractions:
(5/8) * (2/5) = 10/40 = 1/4
Therefore, 1/4 of the students in SSS 3 like both football and swimming.
(b) To find the fraction of students who like football but not swimming, we need to subtract the fraction who like both from the fraction who like football.
Given that 5/8 of the students like football and 1/4 like both football and swimming, we can subtract the fractions:
(5/8) - (1/4) = (5/8) - (2/8) = 3/8
Therefore, 3/8 of the students in SSS 3 like football but not swimming.
(c) To find the fraction of students who like swimming only, we need to subtract the fraction who like both from the fraction who like swimming.
Given that 2/5 of the students like swimming and 1/4 like both football and swimming, we can subtract the fractions:
(2/5) - (1/4) = (8/20) - (5/20) = 3/20
Therefore, 3/20 of the students in SSS 3 like swimming only.