Of 200 students in a college, 120 play a sport, 90 play a musical instrument and 30 do neither. How many play an instrument but not a sport?

40Correct answerYour answer50Correct answerYour answer60Correct answerYour answer90Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

At least one $= 200 - 30 = 170$ .
Those who play an instrument but not a sport are the part of the 170 outside the sport circle: $170 - 120 = 50$ .
(Check: both $= 120 + 90 - 170 = 40$ , and $90 - 40 = 50$ .)

Worth noting

40 is the number who do both. 60 subtracts the 30 who do neither from the 90, but those 30 were never among the instrument players.

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