SOLUTION: In an exam, 75% of the students passed eng , while 65% passed math.If 15% of the students failed both the sub and a total of 495 students passed in both the sub,what is the total n

Question 1034613: In an exam, 75% of the students passed eng , while 65% passed math.If 15% of the students failed both the sub and a total of 495 students passed in both the sub,what is the total number of students who took the exam?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you make a Venn diagram of those who FAILED, then you have 20% only failing math, 10% only failing English and 15% failing both. That means 45% of the students failed at least one. That then means that 55% of the students passed both...
Now call x the total number of students...we write
.55x = 495
x = 900 total students
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