Venn Diagram help!!
In a class of 50 boys. 27 play football, 16 play basketball and 18 are on the track teams, 7 are on football track and 3 are on all teams. How many are not in an of the teams? How may are played basketball only? Football only?

I need a drawing on how to solve and a clear solution Thankyou :)))

Question

Venn Diagram help!!
In a class of 50 boys. 27 play football, 16 play basketball and 18 are on the track teams, 7 are on football track and 3 are on all teams. How many are not in an of the teams? How may are played basketball only? Football only?

I need a drawing on how to solve and a clear solution Thankyou :)))

amistre64 · Answer

there are 3 sports, so start with 3 interlocking circles

amistre64 · Answer

then the best strategy is to start with the middle and work your way out

amistre64 · Answer

|dw:1372252620367:dw|

amistre64 · Answer

without any more information we can start considering

0 <= ft <= 20

0 <= bt <= 11

0<= ft+bt <= 15


15+0
14+1
13+2
12+3
11+4
10+5
  9+6
  8+7

hmm, how to work with this

amistre64 · Answer

im not too sure where we could go from there that would make anything concrete

amistre64 · Answer

and i see that 7-3  should be in the ft region ... and that region left open