Word Problem 4

Miscellaneous Basic Maths Problems 0

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%

$55% of x =pass$

$55% of x =495$

$\frac{55}{100} of x=495$

$\frac{55}{100} \times x=495$

Leaving ‘x’ on one side of equal sign’

$x=495\times \frac{100}{55}$

$\Rightarrow x= 900$

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Word Problem 4

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Word Problem 4

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