A selective college admits only 8% of its applicants. last year 256 applicants were admitted. how many students applied?

Question

A selective college admits only 8% of its applicants. last year 256 applicants  were admitted. how many students applied?

photon336 · Answer

set up a ratio do you know how to do this?

pphalke · Answer

8/100 256/x

photon336 · Answer

$$\frac{ x }{ 256 } = \frac{ 8 }{ 100 }$$

pphalke · Answer

I got 20.48 but how would I know how many students applied

pphalke · Answer

100x=2048
divide by 100 and I got 20.48 is that the answer @Photon336

leenathan · Answer

i think so

pphalke · Answer

anyone?

mathstudent55 · Answer

8% are admitted.
256 were admitted.
That means 256 is 8% of a much larger number.

mathstudent55 · Answer

8 out of 100 is the same as 256 out of x

$\dfrac{8}{100} = \dfrac{256}{x}$

pphalke · Answer

3200 @mathstudent55

mathstudent55 · Answer

Yes.
Now let's check.
3200 applied.
Only 8% were admitted.
8% of 3200 = 0.08 * 3200 = 256.
256 were admitted just as the problem states.