In a group of 30 students, 18 play soccer and 15 play basketball. If 5 students play neither sport, how many students play BOTH soccer and basketball?
8
30 - 5 = 25 students play at least one sport. By inclusion-exclusion, Total = Soccer + Basketball - Both. 25 = 18 + 15 - Both, so Both = 33 - 25 = 8.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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