Question

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

Answer 1

Answer:

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.