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Fifty students were surveyed about their participation in hockey and baseball. The results of the survey were:

 33 students played hockey

24  students played baseball

8  students played neither hockey nor baseball

How many of the students surveyed played both hockey and baseball?

 Jan 6, 2019
 #1
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15 play both

 Jan 6, 2019
 #2
avatar+1252 
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We know 508=42 students played at least one sport. Now, we see that 33+24=57, but there couldn't be 57 players with only 42 students! Therefore, some play both. In fact, 5742=15 students played both.

 

You are very welcome!

:P

 Jan 6, 2019
 #3
avatar+37165 
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I suspect you may have wanted a Venn Diagram for this:

 

 Jan 6, 2019
 #4
avatar+4624 
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We can set up an equation: (33x)+(24x)+x+8=50 . Solving, we get 57x+8=50,57x=42 , so   x=15.

 Jan 6, 2019

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