Word Problem 4
Problem 4: In an exam 75% candidates pass in English, 65% candidates pass in Maths and 15% candidates fail both in English and Maths. If 495 candidates pass the exam, what number of candidates took the exam ?
Solution:
Let Total students =x
Pass in Eng = 75%
Fail in Eng = 25%
Pass in Maths=65%
Fail in Maths = 35%
Fail in both Eng & Maths=15%
Fail only in English=25-15=10%
Fail only in maths =35-15=20%
Now Total fail = Fail in English + Fail in Maths + Fail in both=10+20+15=45%
So, Total pass = 100-45=55%
Leaving ‘x’ on one side of equal sign’