If you draw the diagram, you can see that since 54 passed English, and 17 passed only Math and Geography, only 9 passed Geography only.
So, if we let
x = english and math only
y = english and geography only
z = all three, then we have
x+z = 40
8+y+z = 21
8+x+y+z = 54
Solve those to find x,y,z and then
(i) already noted to be 9
(ii) 7
80 boys took the GCE examination in the three subjects geography, English and mathematics and none of them failed all three subjects, it was noted that 8 passed English only and 10 passed mathematics only, 7 passed mathematics and geography but not English, 40 passed English and mathematics and 21 passed English and geography, altogether 54 passed English.
(a) Draw a venn diagram to represent this information
(b)from venn diagram, find the number of pupils who
(i) Passed geography only,
(ii) Passed all three subjects
1 answer
1 answer