SOLUTION: I need help with this problem: Seventeen kids play both basketball and baseball. There are 34 kids who participate in the two sports. If nine more kids play basketball than basebal

Question 940196: I need help with this problem: Seventeen kids play both basketball and baseball. There are 34 kids who participate in the two sports. If nine more kids play basketball than baseball, how many kids play baseball? It would be a great help if someone helped me. Thanks.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I see this as a Venn diagram, which is 2 overlapping circles
and the region where they overlap is common to both.
So, one circle is the kids who play baseball and
the other circle is the kids who play basketball
------------------------------------------
The kids are in the overlap of the circles
The kids are:
(1) those who ONLY play baseball
(2) those who play both sports
(3) those who ONLY play basketball
--------------------------------
Let = those who ONLY play baseball
Let = those who ONLY play basketball
I can say:
(1)
(2)
-------------------------
Note that I include on both sides of
equation (2). That's because those kids play
both sports, even though the s get
cancelled from the equation
---------------------------
Add the equtions
(1)
(2)
------------------

and, since
(1)
(1)
---------------
The number of kids who play baseball is:
( the overlap of the circles ) + =
answer
-------------------
Notice that they didn't say ONLY baseball
that answer would have been
---------------------------------
So, there should be more kids who
play basketball than baseball:
basketball:
baseball:
check

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