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A school has 3 sports: baseball, basketball, and football. 21 students play baseball, 17 students play basketball, and 24 students play football. 8 students play both baseball and basketball. 6 students play baseball and football. 5 students play basketball and football. 2 students play all 3 sports. How many total students play sports at this school?

 Apr 12, 2020
 #1
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Haven't done a problem like this in a while but from what I remember:

 

Find how many play 1 sport first

Basketball

Start with 17-8(baseball and basketball)-5(basketball and football)=4 students play just basketball

Baseball

Start with 21-8(both bballs) -6(football and baseball)=7 play just baseball

Football

Start with 24-6-5=13 play just Football

 

So far we have 13+7+4=24 students

Add that to the double sport players

 

24+8+5+6=43 students play sports

 

Another way is to take 21+17+24=6s and subtract the doubles

62-8-5-6=43

 Apr 13, 2020

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