SOLUTION: In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or tennis.how many students play both games?

Algebra ->  Test -> SOLUTION: In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or tennis.how many students play both games?      Log On


   

Question 982057: In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or tennis.how many students play both games?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or tennis.how many students play both games?
-------------
Draw a Venn diagram.
You have two intersecting circles inside a rectangle.
----
Label the rectangle indicating it contains 35 players.
Label one of the circles cricket = 30
Label the oter circle tennis = 20
Label the intersection of the circles with "x".
------
Then
The cricket circle has 30-x + x players
The tennis circle as 20-x+x players
----
Equation:
Total number of players = 35
30-x + x + 20-x = 35
-x+50 = 35
x = 15
----
Answer:: 15 players play both cricket and tennis
----------
Cheers,
Stan H.
-------------