Of the total number of candidates in an examination, 40% fail in first subject, of the rest 10% fail in the second and of those that pass in these two subjects, only 75% pass in the remaining subject. The number of unsuccessful candidates exceeds that of that of successful by 570. find total students​

Respuesta :

Answer:

The total number of students is 3,000.

Step-by-step explanation:

Given that of the total number of candidates in an examination, 40% fail in first subject, of the rest 10% fail in the second and of those that pass in these two subjects, only 75% pass in the remaining subject, knowing that the number of unsuccessful candidates exceeds that of that of successful by 570, to find the total number of students the following calculation must be performed:

40 + (60 x 0.1) = 46

54 x 0.75 = 40.5

40.5% pass the 3 exams, while the remaining 59.5% do not.

59.5 - 40.5 = 19

19% = 570

570/19 = 30

30 x 100 = 3000

Thus, the total number of students is 3,000.