math
posted by david
100 student appeared in class test for a combined english and hindi examination. 70 students passed in both,8 failed in english and hindi and 5 failed in hindi only find how manystudents failed in english and how many students passed in hindi also find how many students passed in english

Reiny
Use Venn diagrams
draw two intersecting circles , one labeled E and the other labeled H within a rectangle.
You know the intersection of E and H is 70
and the part outside the two circles is 8
It said 5 failed in H only, so they must have passed E, so they can't be part of the 8, but must be the part of E which is not the intersection. Put 5 into the "E only".
label the "H only" as x
then
x + 70 + 5 + 8 = 100
x = 17
75 passed English, and 87 passed Hindi
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