Question

1/5 of the students in a class and an additional 3 students like badminton. 1/3 of the remaining students in the class and an additional 7 students like swimming and the remaining 23 students in the class like cycling. How many more students prefer
swimming to badminton?
Answered by Bot
7 more students prefer swimming to badminton.
Answered by oobleck
If there are x students in all, then
badminton: x/5 + 3
swimming: 1/3 (x - (x/5+3)) + 7 = 4/15 x + 6
Now we have x - (x/5 + 3) - (4x/15 + 6) = 23
x = 60
so 15 liked badminton and 22 liked swimming
so 7 more liked swimming
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