SOLUTION: In a college 15% of students are daily passengers and 25% of the remaining live in the hostel. If even after this the students left 3366 find the strength of that college

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a college 15% of students are daily passengers and 25% of the remaining live in the hostel. If even after this the students left 3366 find the strength of that college      Log On


   

Question 1071081: In a college 15% of students are daily passengers and 25% of the remaining live in the hostel. If even after this the students left 3366 find the strength of that college
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
15% live in the hostel.
25% of the remaining are passengers.
the rest = 3366

let x = the number of students.

.15 * x + .25 * .85 * x + 3366 = x

simplify to get .15 * x + .2125 * x + 3366 = x

combine like terms to get .3625 * x + 3366 = x

subtract .3625 * x from both sides of the equation to get 3366 = x - .3625 * x

combine like terms to get 3366 = .6375 * x

divide both sides of the equation by .6375 to get 3366 / .6375 = x

solve for x to get x = 3366 / .6375 = 5280.

15% live in the hostel = .15 * 5280 = 792

21.25% are passengers = .2125 * 5280 = 1122

3326 make up the rest = 3366

792 + 1122 + 3366 = 5280.

solution looks good.

792 is 15% of the students = .15 * 5280 = 792

1122 is 25% of 85% of the students = .25 * .85 * 5280 = 1122

3366 make up the rest.

your problem was to find the strength of the students.

they are 5280 strong.