Question

in an exam 14 % students failed and 559 students passed.determine the number of student who failed6

Answer 1

Let X be total number of Students. Then,

Total number of students = number of students failed + number of students passed.

X = X * 14% + 559
X = (X * 14)/100 + 559
X = (14X + 55900) / 100
100X = 14X + 55900

X = 650

So the total students are 650, so the number of failed students would be:

650 - 559 = 91.

Hence... 91 students failed in the exam.

Answer 2

Your answer :-

$let \: the \: total \: number \: of \: students = x \\ \\ number \: of \: passed \: students = 559 \\ \\failed \: ones = 14\% \\ \\ failes \: students + passed \: students = total \: number \: of \: students \\ \\ = > \frac{14}{100} x + 559 = x \\ \\ = > \frac{14x + 55900}{100} = x \\ \\ cross \: multiplication.... \\ \\ = > 14x + 55900 = 100x \\ \\ = > 55900 = 100x - 14x \\ \\ = > 55900 = 86x \\ \\ = > \frac{55900}{86} = x \\ \\ = > 650 = x \\ \\ total \: students = x = 650 \\ \\ failed \: students = \frac{14}{100} x = \frac{14}{100} \times 650 = 91$

Thanks!!